Question

Find the value of x, if 3^4 x3^5 =(3^3)^x​

Answer 1

Answer:

3^9= 3^3x

on comparing we get

9 =3x

x=3

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Answer 2

$\huge{ \boxed{ \sf{Answer: \: x = 3}}}$

$\text{ \huge{ \underline{ \red{Solution}}}}$

$3 {}^{4} \times {3}^{5} = { {3}^{3} }^{x}$

$= > 3 {}^{4 + 5} = 3 {}^{3x}$

$= > 3 {}^{9} = 3 {}^{3x}$

$= > 9 = 3x$

$= > 3x = 9$

$= > x = \frac{9}{3}$

$\orange{ \boxed{ = > x = 3}}$

Important informations;

$\sf{ \large{ { {a}^{x} }^{y} = {a}^{xy} }}$

$\sf{ \large{a {}^{x} \times {a}^{y} = {a}^{x + y} }}$

$\sf{ \large{ {a}^{x} = {a}^{y} = > x = y}}$

HOPE THIS HELPS!