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MATH / Determine the value of ab if log₈a+log₄b²=5 and log₈b+log₄a²=7.

Problem

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problem

Determine the value of abab if log8a+log4b2=5\log_8a+\log_4b^2=5 and log8b+log4a2=7\log_8b+\log_4a^2=7.
Plain-text mathematical notation (without MathML)
Determine the value of ab if log₈a+log₄b²=5 and log₈b+log₄a²=7.
Original LaTeX notation
Determine the value of $ab$ if $\log_8a+\log_4b^2=5$ and $\log_8b+\log_4a^2=7$.

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
cb7428d0-fe6f-5f2b-911f-d79d5d677de3
task_key
intermediate~5falgebra--test--cb7428d0-fe6f-5f2b-911f-d79d5d677de3
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import