Given the exponential equation 2x = 8, what is the logarithmic form of the equation in base 10? x = log base 10 of 2, all over log base 10 of 8 x = log base 10 of 8, all over log base 10 of 2 x = log base 2 of 8, all over log base 2 of 10 x = log base 2 of 10, all over log base 2 of 8

Apply the operator "log" to both sides of the given equation 2^x = 8:

x log 2 = log 8. Solving for x, we get

log 8

x =

log 2

Note that log 8 and log 2 are both logs to the base 10, as specified in the problem statement.

Note also: I believe you wrote "2x = 8" when you actually meant 2^x = 8, and have approached this question accordingly.

the answer would be x= log2 8 / log2 10

m

step-by-step explanation: