2 years ago

Solve for x, log(5x-5)=log(2x+3)+log(15)

1 answer:

5 0

$\log(5x-5)=\log(2x+3)+\log15\\
\log(5x-5)=\log[15(2x+3) ], \text{ because } \log(ab)=\log a+\log b\\
\log(5x-5)=\log(30x+45)\\
5x-5=30x+45, \text{ because } (\log x=\log y\rightarrow x=y.)\\
-25x=50\\
\text{Then } x=-2.$

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A can of pineapple juice is a cylinder with a radius of 2.4in.and a height of 11 in. what is the area of the label around the ca

chubhunter [2.5K]

$\bf \textit{lateral surface area of a cylinder}\\\\
A=2\pi r h\qquad \begin{cases}
r=radius\\
h=height\\
-----\\
r=2.4\\
h=11
\end{cases}\implies A=2\pi (2.4)(11)\implies A=52.8\pi$