Question 599344
Find the missing x or b
:
a. log(2)x=2
write the exponent equiv of logs
x = 2^2
x = 4
so we have
log2[4] = 2
:
b. log(b)4=2/3
write the exponent equiv of logs
{{{b^(2/3)}}} = 4
Cube both sides
{{{b^2}}} = {{{4^3}}}
{{{b^2}}} = 64
b = {{{sqrt(64)}}}
b = 8
so we have
log8[4] = {{{2/3}}}