Question

4 ki power x minus 4 ki power x-1 = 24

Answer 1

Hi friend!!

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

$= {4}^{x} (1 - \frac{1}{4} ) = 24$

$= {4}^{x} ( \frac{3}{4} ) = 24$

$= {4}^{x} = 32$

$x = log_{4}(32)$

x=log (2)^5 to the base 4

x= log (4)^(5/2) to the base 4.

using power law of logarithm, we get

x=5/2


I hope this will help you ;)

Answer 2

${4}^{x} - {4}^{x - 1} = 24$
4^x - 4^x/4 = 24

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

4^x * 3/4 = 24

4^x = 24 * 4 / 3

4^x = 32

4^x = 2^5

4^x = (2^2 ) ^ 5/2

4^x = 4^5/2

x = 5/2

Hope helped!