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Popular >

ln(3x)-10=-8

Solution

ln (3 x) - 10 = - 8

Solution

x = \frac{e ^{2}}{3}

+1

Decimal Notation

x = 2.46301 \dots

Solution steps

ln (3 x) - 10 = - 8

Move

10

to the right side

ln (3 x) = 2

Apply log rules

3 x = e^{2}

Solve

3 x = e^{2} : x = \frac{e ^{2}}{3}

x = \frac{e ^{2}}{3}

Verify Solutions:

x = \frac{e ^{2}}{3}

True

The solution is

x = \frac{e ^{2}}{3}

Popular Examples

ln(x)=ln(5)+ln(x-7)

ln (x) = ln (5) + ln (x - 7)

log_{2x}(2x^2+6x-4)=2

lo g_{2 x} (2 x^{2} + 6 x - 4) = 2

10log_{10}(x^2)=-20

10 lo g_{10} (x^{2}) = - 20

25^{log_{5}(3x^2)}=9x^2

2 5^{l o g_{5} (3 x^{2})} = 9 x^{2}

log_{10}(x)=-13.9

lo g_{10} (x) = - 13.9

Frequently Asked Questions (FAQ)

What is the answer to ln(3x)-10=-8 ?
The answer to ln(3x)-10=-8 is x=(e^2)/3
Solve for x: ln(3x)-10=-8
The solution is x=(e^2)/3