Question

mathematics pls answer my question fast
​

Answer 1

Answer and Step-by-step explanation in attachment.

PLEASE MARK ME BRAINLIEST ;-)

Answer 2

   

Hi!!!

Here's your answer!!! ↓↓↓↓↓

$\Rightarrow\ 4^x-4^{x-1}=24 \\ \\ \Rightarrow\ 4^{x-1+1}-4^{x-1}=24 \\ \\ \Rightarrow\ 4^{x-1} \times 4-4^{x-1}=24 \\ \\ \Rightarrow\ 4^{x-1}(4-1)=24 \\ \\ \Rightarrow\ 4^{x-1} \times 3=24 \\ \\ \Rightarrow\ 4^{x-1}=8 \\ \\ \Rightarrow\ \frac{4^x}{4}=8 \\ \\ \Rightarrow\ 4^x=32 \\ \\ \Rightarrow\ (2^2)^x=2^5 \\ \\ \Rightarrow\ 2^{2x}=2^5 \\ \\ \\ \Rightarrow\ 2x=5 \\ \\ \Rightarrow\ x=\bold{\frac{5}{2}}$

OR

$\Rightarrow\ 4^{x}-4^{x-1}=24 \\ \\ \Rightarrow\ 4^x-\frac{4^x}{4}=24 \\ \\ \Rightarrow\ 4^x(1-\frac{1}{4})=24 \\ \\ \Rightarrow\ 4^x \times \frac{3}{4}=24 \\ \\ \Rightarrow\ 4^x=24 \times \frac{4}{3} \\ \\ \Rightarrow\ 4^x=32 \\ \\ \Rightarrow\ (2^2)^x=2^5 \\ \\ \Rightarrow\ 2^{2x}=2^5 \\ \\ \\ \Rightarrow\ 2x=5 \\ \\ \Rightarrow\ x=\bold{\frac{5}{2}}$

 

Thank you...

$\mathfrak{\#adithyasajeevan}$