Question

solve this equation for x. round your answer to the nearest hundredth. 0.85 = log x enter the correct answer.

Explanation:

Step1: Recall logarithm definition

The equation is \(0.85=\log x\). By the definition of a common logarithm (\(\log x\) means \(\log_{10}x\)), we can rewrite it in exponential form. If \(\log_{b}a = c\), then \(a = b^{c}\). Here, \(b = 10\), \(c=0.85\), so \(x = 10^{0.85}\).

Step2: Calculate \(10^{0.85}\)

Using a calculator, we find that \(10^{0.85}\approx7.08\) (rounded to the nearest hundredth).

Answer:

\(7.08\)