Question

find x to the power x minus 2 into 3 raise to the power 2 x minus 3 is equal to 135 find the value of x​

Answer 1

Answer:

3

Step-by-step explanation:

Given find 5 to the power x minus 2 into 3 raise to the power 2 x minus 3 is equal to 135 find the value of x​

So we can write the expression as

5^x - 2 x 3^2 x - 3 = 135

We can write this as

5^x - 2 x 3^2 x - 3 = 5 x 3^3

So when bases are same exponents are equal.

So we have

x - 2 = 1

x = 3

and 2 x - 3 = 3,

2 x = 6,

x = 3

Answer 2

Given find 5 to the power x minus 2 into 3 raise to the power 2 x minus 3 is equal to 135 find the value of x

So we can write the expression as

5^x - 2 x 3^2 x - 3 = 135

We can write this as

5^x - 2 x 3^2 x - 3 = 5 x 3^3

So when bases are same exponents are equal.

So we have

x - 2 = 1

x = 3

and 2 x - 3 = 3,

2 x = 6,

x = 3