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Using logarithms solve 8^(2x+1) = 24 (to 3dp)

Using the laws of logs you can see that if you log both sides of the equation you get:

(2x+1)*log(8) = log(24)

Dividing both sides of the equation by log(8) you get:

2x+1 = log(24)/log(8)

Then it is a simple case of solving for x:

x = 0.5*(((log(24)/log(8))-1)

x = 0.264

1 year ago

Answered by Graham, an A Level Maths tutor with MyTutor

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