What is the answer to 40=8ln(1.5*t-2)+3 ?

The answer to 40=8ln(1.5*t-2)+3 is t=(2(e^{37/8}+2))/3

Solve for t: 40=8ln(1.5*t-2)+3

The solution is t=(2(e^{37/8}+2))/3

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40 = 8 ln (1.5 \cdot t - 2) + 3

t = \frac{2 ( e ^{\frac{37}{8}} + 2 )}{3}

Decimal Notation

t = 69.33518 \dots

Solution steps

40 = 8 ln (1.5 t - 2) + 3

Switch sides

8 ln (1.5 t - 2) + 3 = 40

Move

3

to the right side

8 ln (1.5 t - 2) = 37

Divide both sides by

8

ln (1.5 t - 2) = \frac{37}{8}

Apply log rules

1.5 t - 2 = e^{\frac{37}{8}}

Solve

1.5 t - 2 = e^{\frac{37}{8}} : t = \frac{2 ( e ^{\frac{37}{8}} + 2 )}{3}

t = \frac{2 ( e ^{\frac{37}{8}} + 2 )}{3}

Verify Solutions:

t = \frac{2 ( e ^{\frac{37}{8}} + 2 )}{3}

True

The solution is

t = \frac{2 ( e ^{\frac{37}{8}} + 2 )}{3}

lo g_{10} (x) = \frac{1.2}{x}

ln (x^{2} - 4) = 8

8 (X)^{2} = 64 X lo g_{2} (X)

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

lo g_{2} (x + 5) = 6

What is the answer to 40=8ln(1.5*t-2)+3 ?
The answer to 40=8ln(1.5*t-2)+3 is t=(2(e^{37/8}+2))/3
Solve for t: 40=8ln(1.5*t-2)+3
The solution is t=(2(e^{37/8}+2))/3