Question

find x ; if 4/9 = (2/3)^x
$find x ; if 4/9 = (2/3)^x$
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Answer 1

Step-by-step explanation:

$\frac{4}{9} = { \frac{2}{3} }^{2} \\ \\ \frac{2}{3}^{2} = { \frac{2}{3} }^{x} \\ \bf \red{then \: x = 2}$

Answer 2

$\longrightarrow \bf{if \: \frac{4}{9} = ( \frac {2}{3} ) {}^{x} } \: then \: find \: \red{ x}$

Let x be 2

Take LHS

$\longrightarrow \:\: \: \: \: \: \: \: \: \bf{ ( \frac {2}{3} ) {}^{\red{x}} } \\ \: \: \: \: \: \: \: \: \: \: \: \rightarrow\mathrm{( \frac{2}{3} }) {}^{2} \\ \\ \: \: \: \: \: \: \: \: \: \rightarrow \mathrm{ \frac{2}{3} \times \frac{2}{3} } \\ \\ \: \: \: \: \: \: \: \: \: \rightarrow\mathrm{ \frac{2 \times 2}{3 \times 3} } \\ \: \: \: \: \: \: \: \: \: \boxed{ : \blue{\rightarrow \mathrm{ \frac{4}{9} }}}$

LHS = RHS

• The value of x is 2 .