Question

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary.

log8x^3 = 4 Can somebody please give me a step-by-step for this? I'm usually good at this but I'm stuck for this one:(
Thanks in adv.

Answer 1

I believe this logarithmic equation should be written as,
log₈x³ = 4
To solve this, raise the base (8) to the answer (4). That is, 8^4 which is equal to 4096. Then equate this answer to the argument, x³
x³ = 4096
The value of x from the equation above is 16.