Question

3^(x+2)-3^(x-3)=76
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Answer 1

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Ola Memama

3^(x + 2) - 3^(x - 3) = 76

9*3^x - 3^x/27 = 76 

3^x*(9 - 1/27) = 76

3^x*((9*27 - 1)/27) = 76

3^x*242/27 = 76 

3^x = 27*76/242 = 1026/121 

x*log(3) = log(1026) - log(121)

x = (log(1026) - log(121))/log(3) = 1.945757 

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