Question

WILL GIVE MEDAL!!
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

Answer 1

anyhow logab=y⟹ay=b2x=128⟹log2128=xthen you can just use the change of base rule logab=logcblogca

for the log change of base rule, "c" can pretty much be anything, so long is the same atop and below

Answer 2

so which one would be the answer

Answer 3

C