What is the answer to (2^t)/(3.8)=20 ?

The answer to (2^t)/(3.8)=20 is t=(ln(76))/(ln(2))

Solve for t: (2^t)/(3.8)=20

The solution is t=(ln(76))/(ln(2))

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\frac{2 ^{t}}{3.8} = 20

t = \frac{ln ( 76 )}{ln ( 2 )}

Decimal Notation

t = 6.24792 \dots

Solution steps

\frac{2 ^{t}}{3.8} = 20

Multiply both sides by

3.8

\frac{2 ^{t}}{3.8} \cdot 3.8 = 20 \cdot 3.8

Simplify

2^{t} = 76

Apply exponent rules

t ln (2) = ln (76)

Solve

t ln (2) = ln (76) : t = \frac{ln ( 76 )}{ln ( 2 )}

t = \frac{ln ( 76 )}{ln ( 2 )}

(9^{7 x - 2}) = 3^{x + 6}

b, x^{y} + y^{x} + x^{4} + a^{b} = 1

5^{x + 3} = (\frac{1}{125})^{x}

1 0^{p} = 40

3^{x + 2} + 3^{x - 1} = 28

What is the answer to (2^t)/(3.8)=20 ?
The answer to (2^t)/(3.8)=20 is t=(ln(76))/(ln(2))
Solve for t: (2^t)/(3.8)=20
The solution is t=(ln(76))/(ln(2))