Solve 10^x=15.67 for x. Give both the exact answer and the decimal approximation to the nearest hundredth. If you need to use a logarithm to solve, use log. Exact answer: square Decimal approximation: square

To solve the equation for , we can take the logarithm of both sides of the equation.Taking the logarithm of both sides, we have: Using the property of logarithms that , we can simplify the left side of the equation: Since , we can further simplify the equation: Therefore, the exact answer is .To find the decimal approximation, we can use a calculator to evaluate : Therefore, the decimal approximation is .