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9 ^ 2 x + 1 is equal to 81 to the power x - 2 all over 3 to the power x |
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Answer» Answer: Assuming the QUESTION actually means 9^(2x+1) = [81^(x+2)]/3^x… then you can change 9 and 81 to powers of 3…3^(2(2x+1)) = [3^(4(x+2))]/3^x the MULTIPLY both sides by 3^x… 3^(5x+2) = 3^(4x+8) this allows you to SOLVE for X by setting the powers of 3 = to eachother. 5x+2 = 4x+8 then subtract 4x from the right and left x +2 = 8 subtract 2 x=6 PS ….can be CHECKED by putting 6 back into original equation. Which yields 9^16 =2,541,865,828,329 =( 81^8)/(3^6) = 2,541,865,828,329 which is equal |
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