Question

Solve the equation, if possible. (Round your answer to two decimal places, if necessary.)

5x=11255^{x}=\frac{1}{125}

Solution

Verified
Step 1
1 of 2

5x=1125Rewrite 1125 as 1535x=153Apply 1am=am5x=53Use One - to - One property ax=ay if and only if x=y, sox=3\begin{gathered} {5^x} = \frac{1}{{125}} \\ \textcolor{#4257b2}{{\text{Rewrite }}\frac{1}{{125}}{\text{ as }}\frac{1}{{{5^3}}}} \\ {5^x} = \frac{1}{{{5^3}}} \\ \textcolor{#4257b2}{ {\text{Apply }}\frac{1}{{{a^m}}} = {a^{ - m}}} \\ {5^x} = {5^{ - 3}} \\ \textcolor{#4257b2}{ {\text{Use One - to - One property }}{a^x} = {a^y}{\text{ if and only if }}x = y,{\text{ so}}} \\ x = - 3 \\ \end{gathered}

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy
Continue with GoogleContinue with Facebook

Recommended textbook solutions

College Prep Algebra: Mathematics for College Readiness, Florida Edition 2nd Edition by Ron Larson

College Prep Algebra: Mathematics for College Readiness, Florida Edition

2nd EditionISBN: 9780357033500 (3 more)Ron Larson
6,690 solutions
College Prep Algebra 1st Edition by Larson

College Prep Algebra

1st EditionISBN: 9781285182629Larson
8,350 solutions
College Prep Algebra: Mathematics for College Readiness, Florida Edition 1st Edition by Larson

College Prep Algebra: Mathematics for College Readiness, Florida Edition

1st EditionISBN: 9781285836782Larson
8,350 solutions
College Prep Algebra: Mathematics for College Readiness 2nd Edition by Larson

College Prep Algebra: Mathematics for College Readiness

2nd EditionISBN: 9781337904278Larson
6,690 solutions

More related questions

1/4

1/7