What is the answer to 10*3^{(5t)/4}=800 ?

The answer to 10*3^{(5t)/4}=800 is t=(4ln(80))/(5ln(3))

Solve for t: 10*3^{(5t)/4}=800

The solution is t=(4ln(80))/(5ln(3))

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10 \cdot 3^{\frac{5 t}{4}} = 800

t = \frac{4 ln ( 80 )}{5 ln ( 3 )}

Decimal Notation

t = 3.19095 \dots

Solution steps

10 \cdot 3^{\frac{5 t}{4}} = 800

Divide both sides by

10

3^{\frac{5 t}{4}} = 80

Apply exponent rules

\frac{5 t}{4} ln (3) = ln (80)

Solve

\frac{5 t}{4} ln (3) = ln (80) : t = \frac{4 ln ( 80 )}{5 ln ( 3 )}

t = \frac{4 ln ( 80 )}{5 ln ( 3 )}

1^{x} = - 1

- 15 \cdot 2^{- 0.5 x} = - 90

4 \cdot 2^{5 x} = 21

5 (2^{3 x}) = 8

2^{3 x + 1} - 2^{2 x - 1} = 2^{x + 3} - 2

What is the answer to 10*3^{(5t)/4}=800 ?
The answer to 10*3^{(5t)/4}=800 is t=(4ln(80))/(5ln(3))
Solve for t: 10*3^{(5t)/4}=800
The solution is t=(4ln(80))/(5ln(3))