What is the answer to 64000= 1/80 e^{x(210)} ?

The answer to 64000= 1/80 e^{x(210)} is x=(ln(5120000))/(210)

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64000= 1/80 e^{x(210)}

64000 = \frac{1}{80} e^{x (210)}

x = \frac{ln ( 5120000 )}{210}

Decimal Notation

x = 0.07356 \dots

Solution steps

64000 = \frac{1}{80} e^{x (210)}

Switch sides

\frac{1}{80} e^{x 210} = 64000

Multiply both sides by

80

e^{x 210} = 5120000

Apply exponent rules

x \cdot 210 = ln (5120000)

Solve

x \cdot 210 = ln (5120000) : x = \frac{ln ( 5120000 )}{210}

x = \frac{ln ( 5120000 )}{210}

(\frac{1}{6})^{2 x} = 216

3^{x + 3} = 7^{x}

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

2 9^{9 x - 4} = 125

t, N = a e^{- 0.21 \cdot t}

What is the answer to 64000= 1/80 e^{x(210)} ?
The answer to 64000= 1/80 e^{x(210)} is x=(ln(5120000))/(210)