Question

Solve this equation for x. Round your answer to the nearest hundredth. 0.58=log x

Answer 1

The logarithm and the exponential are inverse function:

$\log(e^x)=e^{\log(x)}=x$

So, we have

$0.58=\log(x)\iff e^{0.58}=e^{\log(x)}=x$

And so in particular we have

$x=e^{0.58}\approx 1.79$