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

Question

log 8x^3=4
can someone walk me through this step by step?

Answer 1

log 8x^3=4
assuming base 10, that means
8x^3 = 10^4 = 10000
x^3 = 10000/8 = 10 * (10/2)^3
x = 5∛10 ≈ 10.77217

Answer 2

thank you so much!

Answer 3

could u explain to me how u got the last part though?i don't think i am putting it in my calc right because every time i do it ends up being 395.284707521047

Answer 4

If your question mean:

log₈( x³ ) = 4

then:

3 ∙ log₈ ( x ) = 4

log₈ ( x ) = 4 / 3

x = 8 ^ ( 4 / 3 )

x = ∛ 8⁴

x = ∛ 4096

x = 16

Answer 5

that's not what it means,but thanks for helping!