What is the answer to 1.034=-1.48+1.04ln(x) ?

The answer to 1.034=-1.48+1.04ln(x) is x=e^{1257/520}

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1.034=-1.48+1.04ln(x)

1.034 = - 1.48 + 1.04 ln (x)

x = e^{\frac{1257}{520}}

Decimal Notation

x = 11.21562 \dots

Solution steps

1.034 = - 1.48 + 1.04 ln (x)

Switch sides

- 1.48 + 1.04 ln (x) = 1.034

Multiply both sides by

1000

- 1480 + 1040 ln (x) = 1034

Move

1480

to the right side

1040 ln (x) = 2514

Divide both sides by

1040

ln (x) = \frac{1257}{520}

Apply log rules

x = e^{\frac{1257}{520}}

Verify Solutions:

x = e^{\frac{1257}{520}}

True

The solution is

x = e^{\frac{1257}{520}}

lo g_{4} (2 x - 12) = 3

m = lo g_{10} (\frac{s}{s})

lo g_{3} (2 x + 1) - lo g_{3} (x - 1) = 1

lo g_{10} (x) = - lo g_{10} (6)

lo g_{2} (x^{3} + 7) = 3

What is the answer to 1.034=-1.48+1.04ln(x) ?
The answer to 1.034=-1.48+1.04ln(x) is x=e^{1257/520}
Solve for x: 1.034=-1.48+1.04ln(x)
The solution is x=e^{1257/520}