Question

What is the answer to this equation log10^x =3

Answer 1

Answer:

$x=3$

Step-by-step explanation:

The exponent of a factor inside a logarithm can be expanded to the front of the expression using the third law of logarithms. The third law of logarithms states that the logarithm of a power of  $x$  is equal to the exponent of that power times the logarithm of  $x$

$(log_b(x^n)=n*log_b(x))$

Now let's implement this with the values we know.

$x*log(10)=3$

The logarithm base 10 of 10 is 1.

$x*1=3$

$x=3$