Review question

Can we solve these simultaneous exponential equations? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5940

Question

Given that $3(4^p) = 7(6^q)$ and $3(8^{p+1}) = 25(6^q),$ prove that $2^p = \frac{25}{56},$ and express $6^q$ also as the quotient of two integers.

Determine, to two significant figures, the value of $p$.