Question

14 • 10^0.5w= 100. solve for w. express the solution as a logarithm in base-10

Answer 1

Answer:

20

Step-by-step explanation:

100 expressed as a logarithm to base 10 will be $10^{10}$

The question is then framed as

$10^{0.5w}=10^{10}$

Introduce logs on both ends

$log10^{0.5w}=log10^{10}$

Since both sides have base of 10 then we drop the bases and solve the question as

0.5w=10

Making w the subject of the formula

w=10/0.5=20

Therefore, w=20