Question

Solve for x. 6 244 - 21.A. 0.53B. 0.45 C. 0.06 D. 0.24

Answer 1

B. 0.45

Explanation:

We have the following equation:

`6\cdot2^(4x)^{}=21`

We solve for x:

`\begin{gathered} 2^(4x)=(21)/(6) \\ \ln \: \mleft(2^(4x)\mright)=\ln \: \mleft((7)/(2)\mright) \\ 4x\cdot\ln (2)=\ln \: \mleft((7)/(2)\mright) \\ x=(\ln \: \mleft((7)/(2)\mright))/(4\cdot\ln (2)) \\ x=0.45 \end{gathered}`

The value of x is 0.45