What is the answer to 6(ln(4x-9))+14=26 ?

The answer to 6(ln(4x-9))+14=26 is x=(e^2+9)/4

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6(ln(4x-9))+14=26

6 (ln (4 x - 9)) + 14 = 26

x = \frac{e ^{2} + 9}{4}

Decimal Notation

x = 4.09726 \dots

Solution steps

6 (ln (4 x - 9)) + 14 = 26

Move

14

to the right side

6 ln (4 x - 9) = 12

Divide both sides by

6

ln (4 x - 9) = 2

Apply log rules

4 x - 9 = e^{2}

Solve

4 x - 9 = e^{2} : x = \frac{e ^{2} + 9}{4}

x = \frac{e ^{2} + 9}{4}

Verify Solutions:

x = \frac{e ^{2} + 9}{4}

True

The solution is

x = \frac{e ^{2} + 9}{4}

3.1 = - lo g_{10} (x)

x, 6.07 = - lo g_{10} (x)

lo g_{5} (- 7 - 5 x) = 2

lo g_{1} (x - 1) = 5

lo g_{7} (x) - lo g_{7} (3) = 2

What is the answer to 6(ln(4x-9))+14=26 ?
The answer to 6(ln(4x-9))+14=26 is x=(e^2+9)/4
Solve for x: 6(ln(4x-9))+14=26
The solution is x=(e^2+9)/4