\(\displaystyle{\log{{3}}}{\left(\frac{{1}}{{9}}\right)}={\log{{3}}}{\left({3}^{{-{{2}}}}\right)}\) Rewrite \(\displaystyle\frac{{1}}{{9}}\) as a power of 3.
=-2 Use the rule \(\displaystyle{\log{{\mathbf{^}}}}{x}={x}.\)
-2.

Question

asked 2021-01-16

Write in exponential form.

\(\displaystyle{\log{{3}}}{1}={0}\)

\(\displaystyle{\log{{3}}}{1}={0}\)

asked 2021-02-05

\(\displaystyle{\log{{3}}}{\left({x}+{3}\right)}−{\log{{3}}}{\left({x}−{3}\right)}={2}\)

asked 2021-03-02

Find answer using log properties
\(\displaystyle{10}\cdot{\log{{24}}}-{\log{{3}}}\)

asked 2020-11-23

If \(log 3 = A and log 7 = B\), find

\(log_7 9\)

in terms of A and B.

\(log_7 9\)

in terms of A and B.

asked 2021-02-18

Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation.
\(\displaystyle{\log{{2}}}{\left({3}{x}−{1}\right)}={\log{{2}}}{\left({x}+{1}\right)}+{3}\)

asked 2020-11-08

Solve for x
\(\displaystyle{1200}{\left({1.03}\right)}^{{x}}={800}{\left({1.08}\right)}^{{x}}\)

asked 2021-01-31

Find the solution
\(\displaystyle{\log{{\left({6}{x}+{10}\right)}}}=\frac{{\log{{\left({x}\right)}}}}{{\log{{\left(\frac{{1}}{{2}}\right)}}}}\)

asked 2020-12-25

Write a single logarithm. \(\displaystyle{2}{\ln{{x}}}+\frac{{1}}{{3}}{\ln{{\left({x}-{5}\right)}}}\)

asked 2021-01-10

Solve
\(\displaystyle{\log{{4}}}{\left({x}+{3}\right)}+{\log{{4}}}{\left({2}-{x}\right)}={1}\)

asked 2021-01-13

Which equation is equivalent to \(log y = 2x + 1\)?

(A) \(y = 10(100)^x\)

(B) \(y = 10^x\)

(C) \(y=e^2x+1\)

(D) \(y = e^2\)

(A) \(y = 10(100)^x\)

(B) \(y = 10^x\)

(C) \(y=e^2x+1\)

(D) \(y = e^2\)