What is the answer to 10ln(100x)-3=117 ?

The answer to 10ln(100x)-3=117 is x=(e^{12})/(100)

Solve for x: 10ln(100x)-3=117

The solution is x=(e^{12})/(100)

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10 ln (100 x) - 3 = 117

x = \frac{e ^{12}}{100}

Decimal Notation

x = 1627.54791 \dots

Solution steps

10 ln (100 x) - 3 = 117

Move

3

to the right side

10 ln (100 x) = 120

Divide both sides by

10

ln (100 x) = 12

Apply log rules

100 x = e^{12}

Solve

100 x = e^{12} : x = \frac{e ^{12}}{100}

x = \frac{e ^{12}}{100}

Verify Solutions:

x = \frac{e ^{12}}{100}

True

The solution is

x = \frac{e ^{12}}{100}

4 ln (7 x - 4) - 2 = 14

lo g_{10} (5 - 4 lo g_{10} (x + 2)) = 0

10 = lo g_{10} (x)

1 0^{l o g_{10} (2 x)} = x + 10

lo g_{x} (4 x - 3) = 2

What is the answer to 10ln(100x)-3=117 ?
The answer to 10ln(100x)-3=117 is x=(e^{12})/(100)
Solve for x: 10ln(100x)-3=117
The solution is x=(e^{12})/(100)