What is the answer to ln(x)+ln(4)=2 ?

The answer to ln(x)+ln(4)=2 is x=(e^2)/4

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ln(x)+ln(4)=2

ln (x) + ln (4) = 2

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

Decimal

x = 1.84726 \dots

Solution steps

ln (x) + ln (4) = 2

Move

ln (4)

to the right side

ln (x) = 2 - ln (4)

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

lo g_{3} (x^{2} + 9) = 4

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

ln (4 x + 1) = 6

lo g_{4} (1 - 2 x) = 2

lo g_{x} (25) = \frac{- 1}{2}