Question
Solve for $x : (a^{3x + 5})^2. (a^x)^4= a^{8x + 12}$
✓
Answer
$(a^{3x + 5})^2. (a^x)^4= a^{8x + 12}$
$\Rightarrow a^{6x + 10 + 4x =}a^{8x + 12}$
If bases are the same, powers are also same
$\Rightarrow 10x + 10 = 8x + 12$
$\Rightarrow 2x = 2$
$\Rightarrow x = 1$
$\Rightarrow a^{6x + 10 + 4x =}a^{8x + 12}$
If bases are the same, powers are also same
$\Rightarrow 10x + 10 = 8x + 12$
$\Rightarrow 2x = 2$
$\Rightarrow x = 1$
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