Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 468: 8

$x=log_3(10)$ $x=\frac{log10}{log3}$ $x=\frac{ln10}{ln3}$

Step 1. For $3^x=10$, use the meaning of logarithm to get $x=log_3(10)$ Step 2. Use the change-of base theorem to write the result of step 1 as $x=\frac{log10}{log3}$ Step 3. Use the change-of base theorem to write the result of step 1 as $x=\frac{ln10}{ln3}$