Question

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

Answer 1

I hope this will help you !

Answer 2

Answer:

$x=\frac{\log64}{\log4}$

Step-by-step explanation:

We have been given the exponential equation $4^x=64$

We can change the exponential equation into logarithm form using the below relation

$b^x=y\Rightarrow x=\log_by$

Here, we have

y = 64

b = 4

x = x

Using the above relation, the logarithm form is

$x=\log_4 64$

Now, using the base change formula, we have

$x=\frac{\log64}{\log4}$