Answer to Question #228632 in Algebra for Desmond

Question

The equation 0.01^x + 4= 14 has solution?

Answer 1

$0.01^x+4=14;$

$0.01^x=14-4;$

$0.01^x=10$

Taking logarithm of both sides, we get:

$log(0.01^x)=log(10);$

$x\times{log(0.01)}=log(10);$

$x=\frac{log(10)}{log(0.01)}=\frac{1}{-2}=-0.5$

Answer: yes, there is a solution, and x = -0.5