Tolong banget ya kakkk
Penjelasan dengan langkah-langkah:
no.13
²log(6 – ²logx) + 1 = ²log(²logx)
²log(6 – ²logx) + ²log2 = ²log(²logx)
²log(6 – ²logx)(2) = ²log(²logx)
(6 – ²logx)(2) = ²logx
12 – 2²logx = ²logx
12 = 3²logx
4 = ²logx
x = 2⁴
x = 16
.
no.14
ˣlog2x = 1 – ¹⁰log2
ˣlog2x = 1 – ¹⁰log2
ˣlogx + ˣlog2 = ˣlogx – ¹⁰log2
ˣlog2 = – ¹⁰log2
ˣlog2 = – ²log2/²log10
ˣlog2.²log10 = – ²log2
ˣlog10 = – 1
10 = x⁻¹
10 = 1/x
x = 1/10
.
no.15
³logx + ³log(2x – 3) < 3
³log(x(2x – 3) < ³log3³
x(2x – 3) < 3³
2x² – 3x – 9 < 0
(2x + 3)(x – 3) < 0
x = – 3/2
x = 3
+.+.+.+.+.+ – – – – – – – +.+.+.+.+.+
…………-3/2……………3…………….
x > -3/2 dan x < 3