Penjelasan dengan langkah-langkah:
no. 1
log2 + log18 - log6 + log5 - log3
= log2 + log5 + log18 - (log6 + log3)
= log2 + log5 + log18 - log(6×3)
= log2 + log5 + log18 - log18
= log(2×5)
= log10
= 1
jawqbannya : C
no. 2
⁵log150 - ⁵log24 + ⁵log4
= ⁵log150 + ⁵log4 - ⁵log24
= ⁵log(150×4/24)
= ⁵log25
= ⁵log5²
= 2
jawabannya : B
no. 3
log30 - 1/⁴⁸log10 + 1/¹⁶log10
= log30 - log48 + log16
= log30 + log16 - log48
= log(30×16/48)
no. 4
[²log√5 + 2.⁴log5] / [²log3. ³log5]
= [(1/2).²log5 + 2.²^²log5] / ²log5
= [(1/2).²log5 + (2/2).²log5] / ²log5
= [(1/2).²log5 + ²log5] / ²log5
= (3/2).²log5 / ²log5
= 3/2
jawabannya : C
no. 5
ᵖlog81 - 2.ᵖlog27 + ᵖlog27 + ᵖlog243 = 6
ᵖlog81 - ᵖlog27 + ᵖlog243 = 6
ᵖlog81 + ᵖlog243 - ᵖlog27 = 6
ᵖlog(81×243/27) = 6
ᵖlog729 = 6
729 = p⁶
3⁶ = p⁶
p = 3
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Penjelasan dengan langkah-langkah:
no. 1
log2 + log18 - log6 + log5 - log3
= log2 + log5 + log18 - (log6 + log3)
= log2 + log5 + log18 - log(6×3)
= log2 + log5 + log18 - log18
= log(2×5)
= log10
= 1
jawqbannya : C
no. 2
⁵log150 - ⁵log24 + ⁵log4
= ⁵log150 + ⁵log4 - ⁵log24
= ⁵log(150×4/24)
= ⁵log25
= ⁵log5²
= 2
jawabannya : B
no. 3
log30 - 1/⁴⁸log10 + 1/¹⁶log10
= log30 - log48 + log16
= log30 + log16 - log48
= log(30×16/48)
= log10
= 1
jawabannya : B
no. 4
[²log√5 + 2.⁴log5] / [²log3. ³log5]
= [(1/2).²log5 + 2.²^²log5] / ²log5
= [(1/2).²log5 + (2/2).²log5] / ²log5
= [(1/2).²log5 + ²log5] / ²log5
= (3/2).²log5 / ²log5
= 3/2
jawabannya : C
no. 5
ᵖlog81 - 2.ᵖlog27 + ᵖlog27 + ᵖlog243 = 6
ᵖlog81 - ᵖlog27 + ᵖlog243 = 6
ᵖlog81 + ᵖlog243 - ᵖlog27 = 6
ᵖlog(81×243/27) = 6
ᵖlog729 = 6
729 = p⁶
3⁶ = p⁶
p = 3
jawabannya : C