What is the answer to log_{3}(5x-7)=0 ?

The answer to log_{3}(5x-7)=0 is x= 8/5

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log_{3}(5x-7)=0

lo g_{3} (5 x - 7) = 0

x = \frac{8}{5}

Decimal Notation

x = 1.6

Solution steps

lo g_{3} (5 x - 7) = 0

Apply log rules

5 x - 7 = 1

Solve

5 x - 7 = 1 : x = \frac{8}{5}

x = \frac{8}{5}

0 = 5 (ln (4 x) + 1)

ln (x) = ln (x + 6) - ln (x - 4)

x, y x = - lo g_{10} (x)

0.78215 = 0.6446 ln (x) - 0.5557

- lo g_{10} (x) = 7