Angie is working on solving the exponential equation 23^x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.Hint: Use the change

asked Jul 14, 2023 34.4k views

5 votes

4.3k points

Please log in or register to add a comment.

4 votes

x= 0.5714

Step-by-step explanation

Step1

$\begin{gathered} 23^x=6 \\ \operatorname{mean}s \\ x=\log _(23)6 \\ as \\ \log _ba=(\log _a)/(\log _b) \end{gathered}$

therefore, replace

$\begin{gathered} x=\frac{\log 6}{\log \text{ 23}} \\ x=(0.778151)/(1.361728) \\ x=0.5714 \end{gathered}$

so, the answeris

x= 0.5714

I hope this helps you

Sunil B answered Jul 19, 2023

4.8k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.7m questions

6.2m answers