Question

mohon dibantu kakak abang​

Answer 1

Jawaban:

u = 500

Penjelasan:

Diketahui:

u = x³

[tex]\displaystyle\tt~ {}^{x} log~ 10 = {}^{u} log~ (3u - 500)[/tex]

Ditanya:

u = ....?

Penyelesaian:

[tex]\begin{aligned}\displaystyle\tt~ {}^{x}log~10 & = \displaystyle\tt~ {}^{u}log~(3u - 500) \\ \displaystyle\tt~ {}^{x}log~10 & = \displaystyle\tt~ {}^{ {x}^{3} }log~ (3u - 500) \\ \displaystyle\tt~ {}^{x}log~10 & = \displaystyle\tt~ \frac{1}{3}~ {}^{x} log~(3u - 500) \\ \\ \displaystyle\tt~ \cancel{{}^{x}log}~ 10 & = \displaystyle\tt~ \cancel{{}^{x}log}~ {(3u - 500)}^{ \frac{1}{3} } \\ \displaystyle\tt~10 & = \displaystyle\tt~ {(3u - 500)}^{ \frac{1}{3} } \\ \displaystyle\tt~ \sqrt[3]{3u - 500} & = \displaystyle\tt~10 \\ \displaystyle\tt~ {( \sqrt[3]{3u - 500} )}^{3} & = \displaystyle\tt~ {10}^{3} \\\displaystyle\tt~3u - 500 & = \displaystyle\tt~ 1.000 \\ \displaystyle\tt~3u & = \displaystyle\tt~1.000 + 500 \\\displaystyle\tt~3u & = \displaystyle\tt~1.500 \\ \displaystyle\tt~u & = \displaystyle\tt~ \frac{1.500}{3} \\ \displaystyle\tt~u & = \displaystyle\tt~500 \end{aligned}[/tex]