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

Step-by-step explanation:

Given the exponential equation 4^x = 64

To convert exponential equation into log equation we use the rule

b^x = a then log_b(a)=x

the base of exponent becomes the base of log equation

4^x = 64 becoes

WE need log with base 10, but we got log with base 4

USe change of base formula to get base 10

log_b(a)= log(a)/ log(b)

has log with base 10

answer: for each 3 girls there is 2 boys . 3: 2

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step-by-step explanation:

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