Math, asked by Saumi2003, 1 year ago

maths rd sharma class 9. no spam answers please

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Answered by Anonymous
6
Hey Mate ,

Here is your solution ,

Given,

5^( x - 2 ) × 3^( 2x - 3 ) = 135

5^( x - 2 ) × 3^ ( 2x - 3 ) = 3 × 3 ×3 × 5

5^( x - 2 ) × 3^(2x - 3 ) = 3^3 × 5^1

On comparing ,

5^( x - 2 ) = 5^1

As bases are equal,so exponent will be also equal.

x - 2 = 1

x = 1 + 2

x = 3

Again on comparison,

3^( 2x - 3 ) = 3^3

As bases are equal, so exponent will be also equal.

2x -3 = 3

2x = 3 + 3

2x = 6

x = 6 ÷ 2

x = 3.

Therefore, x = 3.

Hope it helps !!

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Answered by manojnimgade12
0

Answer:

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