[{(0,09^(3/2)).(x-3)} / (0,3^(4x+1))] = 1 nilai x yg memenuhi persamaan adalah ... (no.2).... Question from @gwenlauren36

October 2018 2 18 Report

[{(0,09^(3/2)).(x-3)} / (0,3^(4x+1))] = 1 nilai x yg memenuhi persamaan adalah ... (no.2)

izharulhaq78 $\displaystyle \frac{(0,09)^{\displaystyle \frac32(x-3)}}{(0,3)^{\displaystyle 4x+1}}=1\\((0,3)^{\displaystyle 2})^{\displaystyle \frac32(x-3)}=(0,3)^{\displaystyle 4x+1}\\(0,3)^{\displaystyle 2\times\frac32(x-3)}=(0,3)^{\displaystyle 4x+1}\\(0,3)^{\displaystyle 3(x-3)}=(0,3)^{\displaystyle 4x+1}\\\\\therefore\\3(x-3)=4x+1\\3x-9=4x+1\\-9-1=4x-3x\\\boxed{\boxed{-10=x}}$

2 votes Thanks 2

MicoArrafi Karena nomor 2 sudah terjawab, maka saya mengerjakan nomor 3 :)

$$\begin{align} 675&=5^{2p+4}\times3^{1-2p}\\5^2\times3^3&=5^{2p+4}\times3^{1-2p}\\2\times3&=(2p+4)(1-2p) \end$

Ambil salah satu :

$$\begin{align} 2&=2p+4\\2p&=2-4\\2p&=-2\\p&=-1\\\\3&=1-2p\\2p&=1-3\\2p&=-2\\p&=-1 \end$

Jadi, p = -1.

1 votes Thanks 1

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