What is the answer to 6ln(x)-3=2-ln(x) ?

The answer to 6ln(x)-3=2-ln(x) is x=e^{5/7}

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6ln(x)-3=2-ln(x)

6 ln (x) - 3 = 2 - ln (x)

x = e^{\frac{5}{7}}

Decimal

x = 2.04272 \dots

Solution steps

6 ln (x) - 3 = 2 - ln (x)

Move

3

to the right side

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

Move

ln (x)

to the left side

7 ln (x) = 5

Divide both sides by

7

ln (x) = \frac{5}{7}

Apply log rules

x = e^{\frac{5}{7}}

Verify Solutions:

x = e^{\frac{5}{7}}

True

The solution is

x = e^{\frac{5}{7}}

lo g_{8} (28 k - 20) + 15 = 18

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

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

\frac{- 2 ln ( x ) + 1}{x ^{3}} = 0

lo g_{4} (x - 9) = 2

What is the answer to 6ln(x)-3=2-ln(x) ?
The answer to 6ln(x)-3=2-ln(x) is x=e^{5/7}
Solve for x: 6ln(x)-3=2-ln(x)
The solution is x=e^{5/7}