Question

Please solve the following equation
log3(4*3^(x)-1)=2x+1

Answer 1

Hi,

12×9^(x)-3=2x+1

108^x-3=2x+1

108^x=2x+1+3

108^x=2x+4

now,

x=^108

lcm of 108=2×2×3×3×3

to make 108 as a perfect square multiply it by 3,

108×3=2×2×3×3×3×3

324=2×3×3

324=18^2

SO,

18=2x+4

18-4=2x

14=2x

14/2=x

7=x

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