Use logarithms to solve the equation 3^(2x+1) = 4^100

We have 3^(2x+1) = 4^100

=> log(3^(2x+1)) = log(4^100)

=> (2x+1)log(3) = 100log(4)

IC
Answered by Ian C. Maths tutor

6691 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that y= 5x^2 + 2x , find dy/dx


Solve, giving your answer to 3 s.f. : 2^(2x) - 6(2^(x) ) + 5 = 0


Prove the identity (4cos(2x))/(1+cos(2x)) = 4-2sec^2(x)


Given that 3^(-3/2) = a* 3^(1/2), find the exact value of a.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning