Answer:
[tex]x=3[/tex]
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 [tex]x[/tex] is equal to the exponent of that power times the logarithm of [tex]x[/tex]
[tex](log_b(x^n)=n*log_b(x))[/tex]
Now let's implement this with the values we know.
[tex]x*log(10)=3[/tex]
The logarithm base 10 of 10 is 1.
[tex]x*1=3[/tex]
[tex]x=3[/tex]
