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SECONDARY
ALGEBRA
ALGEBRA II
LOGARITHMS
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Logarithms questions and answers
Recent questions in Logarithms
Steven Smith
2021-11-10
Answered
Write the expression as the sum or difference of two logarithmic functions containing no exponents.
\(\displaystyle{\log{{\left({\frac{{{x}}}{{{x}+{5}}}}\right)}}}\)
generals336
2021-11-10
Answered
Solve the equation.
\(\displaystyle{\ln{{\left(-{4}-{x}\right)}}}+{\ln{{3}}}={\ln{{\left({2}-{x}\right)}}}\)
chillywilly12a
2021-11-10
Answered
Solve for xx.
\(\displaystyle{{\log}_{{2}}{\left({x}\right)}}+{{\log}_{{2}}{\left({x}−{12}\right)}}={6}\)
deliredejoker7m
2021-11-09
Answered
Write the expression as a single logarithm
\(\displaystyle{6}{{\log}_{{5}}{\left({x}-{3}\right)}}-{4}{{\log}_{{5}}{\left({x}+{4}\right)}}\)
avissidep
2021-11-09
Answered
Use properties of logarithms to evaluate the expression.
\(\displaystyle{{\log{{\left({0.01}\right)}}}^{{5}}}\)
Globokim8
2021-11-09
Answered
Find the exact value of the logarithmic expression
\(\displaystyle{\ln{{\left({\frac{{{1}}}{{\sqrt{{e}}}}}\right)}}}\)
without using a calculator.If this is not possible, state the reason.
cistG
2021-11-09
Answered
Evaluate or simplify the expression without using a calculator:
\(\displaystyle{10}^{{{\log{\sqrt{{{x}}}}}}}\)
aortiH
2021-11-09
Answered
Find the exact value of each logarithm without using a calculator.
\(\displaystyle{{\ln{{e}}}^{{3}}}\)
Susan Munoz
2021-11-08
Answered
Ise properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator
\(\displaystyle{{\log}_{{5}}{\left({\frac{{{625}}}{{{y}}}}\right)}}\)
Liesehf
2021-11-08
Answered
\(\displaystyle\text{The product property of logarithms states that }\ {{\log}_{{b}}{\left({x}{y}\right)}}=\ \ \ \ \text{ for positive real numbers b,x and where }\ {b}\ne{1}\)
skeexerxo175o
2021-11-08
Answered
Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator.
\(\displaystyle{{\log}_{{4}}{\left({48}{x}+{16}{y}\right)}}\)
Ayaana Buck
2021-11-08
Answered
Rewrite the following logarithms in expanded form by applying the properties of logarithms.
\(\displaystyle{\log{{\left({x}^{{y}}\right)}}}\)
Chesley
2021-11-08
Answered
Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.
\(\displaystyle{{\log}_{{a}}{x}}+{{\log}_{{a}}{\left({x}-{2}\right)}}={{\log}_{{a}}{\left({x}+{4}\right)}}\)
generals336
2021-11-08
Answered
\(\displaystyle\text{If }\ {y}={\frac{{{3}^{{x}}+{2}}}{{{3}^{{x}}-{2}}}},\ \text{ then }\ {x}={{\log}_{{3}}{\frac{{{2}{y}+{2}}}{{{y}+{k}}}}}\ \text{ for some real number k. What is the value of k? }\ \)
defazajx
2021-11-08
Answered
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expression
\(\displaystyle{8}{\ln{{x}}}-{\frac{{{1}}}{{{3}}}}{\ln{{y}}}\)
ossidianaZ
2021-11-08
Answered
Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.
\(\displaystyle{{\log}_{{424}}-}{{\log}_{{46}}}\)
A. 4
B. 24
C. 1
D. 6
Jerold
2021-11-08
Answered
Show that
\(\displaystyle{{\log}_{{a}}{\left({12}{x}+{2}{x}-{12}\right)}}+{{\log}_{{a}}{\left({12}{x}-{2}{x}-{12}\right)}}={0}\)
fortdefruitI
2021-11-08
Answered
Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places :
\(\displaystyle{{\log}_{{513}}}\)
UkusakazaL
2021-11-08
Answered
Use the Laws of Logarithms to combine the expression.
\(\displaystyle{I}{n}{\left({a}+{b}\right)}+{I}{n}{\left({a}-{b}\right)}-{2}{I}{n}{c}\)
Grady Turner
2021-11-07
Answered
Use the Properties of Logarithms to condense the logarithm. Simplify if possible. (Assume the variable is positive.)
\(\displaystyle{{\log}_{{3}}{\left({x}^{{2}}−{1}\right)}}−{2}{{\log}_{{3}}{\left({x}−{1}\right)}}\)
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