What is the answer to 1.74*e^13=1*e^x ?

The answer to 1.74*e^13=1*e^x is x=ln((261e)/(50))

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1.74e^13=1e^x

1.74 \cdot e^{1} 3 = 1 \cdot e^{x}

x = ln (\frac{261 e}{50})

Decimal Notation

x = 2.65249 \dots

Solution steps

1.74 e^{1} \cdot 3 = 1 \cdot e^{x}

Switch sides

1 \cdot e^{x} = 1.74 e^{1} \cdot 3

Multiply:

1 \cdot e^{x} = e^{x}

e^{x} = 1.74 e^{1} \cdot 3

Multiply the numbers:

1.74 \cdot 3 = 5.22

e^{x} = 5.22 e^{1}

Multiply both sides by

100

e^{x} \cdot 100 = 522 e^{1}

Divide both sides by

100

e^{x} = \frac{261 e ^{1}}{50}

Simplify

e^{x} = \frac{261 e}{50}

Apply exponent rules

x = ln (\frac{261 e}{50})

3^{x - 1} = \frac{3 ^{x}}{3}

1.0 5^{n} = 2

8^{x} = 5^{2 x + 1}

x, e^{2 x} - 7 e^{x} + 12 = 0

y, x = e^{5 (y - 9)}

What is the answer to 1.74*e^13=1*e^x ?
The answer to 1.74*e^13=1*e^x is x=ln((261e)/(50))