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Popular >

ln(3x)-2=5

Solution

ln (3 x) - 2 = 5

Solution

x = \frac{e ^{7}}{3}

+1

Decimal Notation

x = 365.54438 \dots

Solution steps

ln (3 x) - 2 = 5

Move

2

to the right side

ln (3 x) = 7

Apply log rules

3 x = e^{7}

Solve

3 x = e^{7} : x = \frac{e ^{7}}{3}

x = \frac{e ^{7}}{3}

Verify Solutions:

x = \frac{e ^{7}}{3}

True

The solution is

x = \frac{e ^{7}}{3}

Popular Examples

solvefor b,log_{b}(9)=2 solve for

b, lo g_{b} (9) = 2

0.24=log_{10}(x/(1-x))

0.24 = lo g_{10} (\frac{x}{1 - x})

log_{10}(1/x)=-4

lo g_{10} (\frac{1}{x}) = - 4

log_{5}(x+4)+log_{5}(x-4)=2

lo g_{5} (x + 4) + lo g_{5} (x - 4) = 2

ln(7x+32)+ln(4)=2ln(x)

ln (7 x + 32) + ln (4) = 2 ln (x)

Frequently Asked Questions (FAQ)

What is the answer to ln(3x)-2=5 ?
The answer to ln(3x)-2=5 is x=(e^7)/3
Solve for x: ln(3x)-2=5
The solution is x=(e^7)/3