What is the answer to 6ln(4x-10)-2=40 ?

The answer to 6ln(4x-10)-2=40 is x=(e^7+10)/4

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6ln(4x-10)-2=40

6 ln (4 x - 10) - 2 = 40

x = \frac{e ^{7} + 10}{4}

Decimal Notation

x = 276.65828 \dots

Solution steps

6 ln (4 x - 10) - 2 = 40

Move

2

to the right side

6 ln (4 x - 10) = 42

Divide both sides by

6

ln (4 x - 10) = 7

Apply log rules

4 x - 10 = e^{7}

Solve

4 x - 10 = e^{7} : x = \frac{e ^{7} + 10}{4}

x = \frac{e ^{7} + 10}{4}

Verify Solutions:

x = \frac{e ^{7} + 10}{4}

True

The solution is

x = \frac{e ^{7} + 10}{4}

ln (x) + ln (x - 2) = 4

ln (x^{4}) = 24

ln (x + 1) = 2 - ln (x - 1)

lo g_{2} (x + a) = b

3.5 = - lo g_{10} (x)

What is the answer to 6ln(4x-10)-2=40 ?
The answer to 6ln(4x-10)-2=40 is x=(e^7+10)/4
Solve for x: 6ln(4x-10)-2=40
The solution is x=(e^7+10)/4