Question

solve for x: 2³(5⁰+3^2x)=8(27+8)/27

(2 raise to the power 3 multiply 5raise to th power 0 + 3 raise to the power 2x = 8 whole 8 upon 27. Find the value of x.)
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Answer 1

Answer:

2³(5^0 + 3²x) = 8(8/27)

Step-by-step explanation:

=> 2³(5^0 + 3²x) -[8(8/27)] = 0

=> 2³(5^0 + 3²x) - 64/27 = 0

=> 2³(1 + 9x) -64/27 = 0

Now taking 27 as LCM,

=> [2³ *(1+ 9x) * 27 - 64]/27 = 0

=> [216(1+ 9x) -64]/27 = 0

=> [216+ 1944x -64] /27 =0

=> 152 + 1944x = 0

Taking common factor 8

=> 8(19 + 243x) = 0

=> 19 + 243x = 0

=> 243x = -19

Therefore, x = -19/243 or -0.078

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