How do you solve  5⋅18^6x= 26?

Jul 26, 2018

$x = \frac{13}{45 \cdot {18}^{5}}$

Explanation:

$5 \cdot {18}^{6} x = 26$

Factorise $26 = 2 \cdot 13$

Divide each side with $5 \cdot 18 \cdot {18}^{5} = 5 \cdot 2 \cdot 9 \cdot {18}^{5}$

This gives $x = \frac{2 \cdot 13}{2 \cdot 5 \cdot 9 \cdot {18}^{5}}$
=$\frac{13}{45 \cdot {18}^{5}}$