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What is the approximate value of x in the equation below. log 3/4 25 =3x-1

2 Answers

3 votes

Solve for x by simplifying both sides od the equation, then isolating the variable.

x=79/12

User Gaspare Bonventre
by
7.7k points
4 votes

Answer:

Given the equation:
\log_{(3)/(4)} 25 = 3x-1

Solve for x;

Use logarithmic rules:


\log_b a = (\log a)/(\log b)

Then;


(\log 25)/(\log (3)/(4)) =3x-1

Using values of:


\log 25 = 1.39794001


\log (3)/(4) = -0.124938737

Substitute these values we have;


-(1.39794001)/(0.124938737) = 3x-1

Simplify:


-11.1890039 =3x-1

Add 1 to both sides we get;

-10.1890039 = 3x

Divide both sides by 3 we get;


x = - 3.39633463

Therefore, the approximate value of x in the equation
\log_{(3)/(4)} 25 = 3x-1 is -3.396


User Sholom
by
8.2k points

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