What is the answer to ln(10x+6)=5 ?

The answer to ln(10x+6)=5 is x=(e^5-6)/(10)

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ln(10x+6)=5

ln (10 x + 6) = 5

x = \frac{e ^{5} - 6}{10}

Decimal Notation

x = 14.24131 \dots

Solution steps

ln (10 x + 6) = 5

Apply log rules

10 x + 6 = e^{5}

Solve

10 x + 6 = e^{5} : x = \frac{e ^{5} - 6}{10}

x = \frac{e ^{5} - 6}{10}

lo g_{y} (2) = lo g_{4} (32)

ln^{2} (x) - ln (x) = 0

ln (5 x - 15) = 1

3 lo g_{4} (x) = lo g_{4} (4^{8}) - 5

x, lo g_{k} (x) = - 4