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ladessa [460]
3 years ago
8

Which is the solution for log(3x - 1) + log 2 = log 4 + log (x + 2) ?​

Mathematics
2 answers:
Lemur [1.5K]3 years ago
6 0

Answer:x=1

Step-by-step explanation:

log(3x-1)+log2=log4+log(x+2)

log(2(3x-1))=log(4(x+2))

Cancel log on both sides

2(3x-1)=4(x+2)

Open brackets

6x-2=4x+8

Collect like terms

6x-4x=8+2

10x=10

Divide both sides by 10

10x/10=10/10

x=1

11Alexandr11 [23.1K]3 years ago
3 0

Answer:

x=5

Step-by-step explanation:

log(3x-1)+log2=log4+log(x+2)

log(2(3x-1))=log(4(x+2))

Cancel log on both sides

2(3x-1)=4(x+2)

Open brackets

6x-2=4x+8

Collect like terms

6x-4x=8+2

2x=10

Divide both sides by 2

2x/2=10/2

x=5

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<u>G</u><u>iven </u><u>:</u><u>-</u>

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<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

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