Question

Find the value of x: 5^x-2 × 3^2x-3 = 135

Answer 1

Answer:

FOR THIS QUESTION

FIRST FIND THE FACTORS OF 135

135 = 3³ ×5

THIS THING TELLS US THAT THE POWER OF 5 IS EQUAL TO 1

AND POWER OF 3 IS 3

SO , X-2 = 1 AND 2X-3 = 3

X = 3

HOPE IT HELPS ...

Answer 2

$5^{x - 2} \times 3^{2x - 3} = 135 = 5^{x - 2} \times 3^{2x - 3} = 5 \times {3}^{3}\\= x - 2 = 1 \: and \: 2x - 3 = 3\\= x = 3$