Question

Solve for x:

Log base 10 (x) / Log base 10 (2) = 4

Answer 1

x=16

Answer 2

Does 4 become log base 10 (10000)?

Answer 3

How did you get 16?

Answer 4

2^4 = 16

Answer 5

\[\huge\color{blue}{ \frac{\log _{10} x }{\log _{10} 2} =4 } \]\[\huge\color{blue}{ \log _{2} x =4 } \]\[\huge\color{blue}{ \log _{2} x =4 } ~~~~~~->~~~~~x=2^4\]

Answer 6

How did it change from base 10 to base 2?

Answer 7

What is the rule?

Answer 8

I used a formula.
\[\huge\color{blue}{ \frac{Log_{10}b}{Log_{10}a} = Log _{a} b } \]

Answer 9

Thanks for explaining it to me. I get it now

Answer 10

yw