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

GR

Related Maths A Level answers

All answers ▸

Integrate this funtion f'(x)=2x +4 with respect to x (C1 integration)


What is a stationary point and how do I find where they occur and distinguish between them?


What's the difference between the quotient rule and the product rule?


Outline the various ways that you can differentiate a function