Question

answer with explaination I will mark you as brainaliest and also follow you

Answer 1

Heyy mate ❤✌✌❤

Here's your Answer...

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4^x-4^x-1=24

4^x-4^x × 4^-1=24

4^x (1-4^-1)=24

4^x (1-1÷4)=24

4^x (4-1÷4)=24

4^x (3÷4)=24

4^x=24×4÷3

4^x = 8× 4

4^x = 32

It can be written as,

(2^2)^x = 2^5

2^2x = 2^5

2x = 5

x = 5/2.
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Answer 2

Answer:

x = 5/2

Step-by-step explanation:

$Given:4^{x}-4^{x-1}=24$

$=>4^x-4^x*4^{-1} = 24$

$=>4^{x}[1-4^{-1}] =24$

$=>4^{x}[1-\frac{1}{4}]=24$

$=>4^{x}[\frac{3}{4}] = 24$

$=>4^{x}=\frac{24*4}{3}$

$=>(2^2)^{x}=\frac{96}{3}$

$=>2^{2x}=32$

$=>2^{2x} = 2^5$

$=>2x=5$

$=>x=\frac{5}{2}$

Hope it helps!