Question

If 4^​3x−2​​ =4^x+1, then x= ? the pic looks better ​

Answer 1

After solving  $4^{3x-2}=4^{x+1}$ we get value of x: $x=\frac{3}{2}$

Step-by-step explanation:

We need to solve the equation $4^{3x-2}=4^{x+1}$ and find value of x:

Solving:

$4^{3x-2}=4^{x+1}$

Using the rule: if $if\,\,a^{x}=a^{y}\,\,then\,\,x=y$

Since our base is equal i.e 4 so,

$3x-2=x+1\\3x-x=1+2\\2x=3\\x=\frac{3}{2}$

So, After solving  $4^{3x-2}=4^{x+1}$ we get value of x: $x=\frac{3}{2}$

keywords: Solving Exponents

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