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Please help me with this problem

ln -3x + ln 4 = ln 58​

2 Answers

5 votes

Answer:

7x - 4x = 21

3x = 21

x = 21÷3

x = 7

User Pegolon
by
7.1k points
4 votes

9514 1404 393

Answer:

x = -29/6 = -4 5/6

Explanation:

The equation simplifies to ...

ln(-3x·4) = ln(58)

Taking antilogs, the equation becomes ...

(-3x)(4) = 58

Dividing by -12 shows us the value of x.

x = -58/12

x = -29/6 = -4 5/6

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The applicable rule of logarithms is ...

ln(ab) = ln(a) +ln(b)

User Dragonfry
by
7.4k points