What is the answer to 5.3^x+2.3^3=63 ?

The answer to 5.3^x+2.3^3=63 is x=(ln(50.833))/(ln(5.3))

Solve for x: 5.3^x+2.3^3=63

The solution is x=(ln(50.833))/(ln(5.3))

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5. 3^{x} + 2. 3^{3} = 63

x = \frac{ln ( 50.833 )}{ln ( 5.3 )}

Decimal Notation

x = 2.35565 \dots

Solution steps

5. 3^{x} + 2. 3^{3} = 63

Move

2. 3^{3}

to the right side

5. 3^{x} = 63 - 2. 3^{3}

Simplify

5. 3^{x} = 50.833

Apply exponent rules

x ln (5.3) = ln (50.833)

Solve

x ln (5.3) = ln (50.833) : x = \frac{ln ( 50.833 )}{ln ( 5.3 )}

x = \frac{ln ( 50.833 )}{ln ( 5.3 )}

4 e^{2 x} = 81 - 5 e^{2 x}

210 = 3^{x} - 43

4508 = 1650 e^{0.15 t}

e^{0.2 x} = 21.2

3 \cdot 1 0^{2 y} = 42

What is the answer to 5.3^x+2.3^3=63 ?
The answer to 5.3^x+2.3^3=63 is x=(ln(50.833))/(ln(5.3))
Solve for x: 5.3^x+2.3^3=63
The solution is x=(ln(50.833))/(ln(5.3))