Without using a calculator, solve, for $x$ and $y$, in the following simultaneous equations

Question

Without using a calculator, solve, for $x$ and $y$, in the following simultaneous equations: $ \qquad\,\,\,8^x \div 2^y = 64$ $3^{4x} \times \left(\frac{1}{9}\right)^{y-1} = 81$

Accepted Answer

$x=5$, $y=9$

Exponential and Logarithmic Functions - Simultaneous Exponential Equations

Exponential and Logarithmic Functions - Simultaneous Exponential Equations

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