Question

6^(2x+1) / 26 = 216. find the value of x

Answer 1

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Answer 2

Here is your answer

$\frac{6 {}^{2x + 1} }{26} = 216 \\ 6 {}^{2x} \times 6 = 216 \times 26 \\ 6 {}^{2x} = \frac{216 \times 26}{6} \\ 6 {}^{2x} = 936 \\ taking \: log \: we \: get \\ log \: 6 {}^{2x} = log \: 936 \\ 2x \: log \: 6 = log \: 936 \\ x = \frac{1}{2} \times \frac{log \: 936}{log \: 6} \\ x = \frac{1}{2} \times \frac{2.972}{0.7781} \\ x = 1.909$
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