Question

Find X when:
$18 {}^{log_{5}(x)} = 9$
​

Answer 1

Step-by-step explanation:

We have,

${18}^{ log_{5}(x) } = 9$

$\implies {x}^{ log_{5}(18) } = 9.......(as \: \: we \: \: know \: \: {a}^{ log_{n}(m) } = {m}^{ log_{n}(a) })$

$\implies log_{5}(18) log_{5}( x) = log_{5} (9)$

$\implies log_{5} (x) = \frac{ log_{5}(9) }{ log_{5}(18) }$

$\implies log_{5}(x) = log_{18}(9)$

$\implies \: x = {5}^{ log_{18}(9) }$