Need to know how to solve for x

Question

Solve for x.

log 10x = 3

Answer 1

Use definition of log b^a=x

So 10x = 10^3

10x = 1000

Divide both sides by 10 to get

x = 100

Answer 2

You can write the logarithm in exponential form to solve this.

Consider the fact that 2³=8. In logarithmic form, the same expression is log₂8 = 3.

When you see log without a base specified, this is called a "standard logarithm". Standard logarithms are base 10.

Example: log 1000=3 because 10³ = 1000.

Rewriting yours, log 10x = 3, in exponential form yields 10³ =10x, or 1000=10x. Divide both sides by ten to solve for x, and x=100.