Answered

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Topic: Solving Exponential and Logarithmic Equations
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Solve 3* = 42. Round to the nearest hundredth.

Sagot :

MrRoyal

Answer:

[tex]x = 3.40[/tex]

Step-by-step explanation:

Given

[tex]3^x = 42[/tex]

Required

Find x

[tex]3^x = 42[/tex]

Take Log of both sides

[tex]Log\ 3^x = Log\ 42[/tex]

Apply log rule

[tex]xLog\ 3 = Log\ 42[/tex]

Make x the subject

[tex]x = \frac{Log\ 42}{Log\ 3}[/tex]

[tex]x = \frac{1.6232}{0.4771}[/tex]

[tex]x = 3.4022[/tex]

[tex]x = 3.40[/tex] --- approximated

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