algebra

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

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

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  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

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  2. thank you so much!

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  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

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  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

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

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