Rewrite each equation as requested. (a) Rewrite as an exponential equation. $$log_{\frac{1}{7}}\frac{1}{7}=-1$$ (b) Rewrite as a logarithmic equation. $$2^5=32$$ (a) (b) log
Added by Susan E.
Close
Step 1
A logarithmic equation of the form $$log_b a = c$$ is equivalent to an exponential equation of the form $$b^c = a$$. Conversely, an exponential equation of the form $$b^c = a$$ is equivalent to a logarithmic equation of the form $$log_b a = c$$. Show more…
Show all steps
Your feedback will help us improve your experience
Bradley Duda and 62 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Bradley D.
Write each equation in exponential form. $$-1=\log _{7} \frac{1}{7}$$
Exponential and Logarithmic Functions
Logarithms and Logarithmic Functions
Write the logarithmic equation in exponential form. For example, the exponential form of $\log _{5} 25=2$ is $5^{2}=25.$ $$\log _{7} \frac{1}{49}=-2$$
Logarithmic Functions and Their Graphs
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD