Answers>Maths>IB>Article

Solve the equation 8^(x-1) = 6^(3x) . Express your answer in terms of ln 2 and ln3 .

8(x-1) = 63x

23(x-1) = (2 * 3)3x

23x * 2-3 = 23x * 33x        / : 23x

2-3 = 33x                             / ln

ln(2-3) = ln(33x)

-3 ln(2) = 3x ln(3)         / :3

- ln(2) = x ln(3)

x = - ln(2)/ln(3)

DG
Answered by David G. Maths tutor

25161 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

What is the area enclosed by the functions x^2 and sqrt(x)?


3 girls and 4 boys are seated randomly on a bench. Find the probability that the girls set together and the boys sit together.


Prove that (sinx)^2 + (cosx)^2 = 1


Factorise z^3+1 into a linear and quadratic factor. Let y=(1+i√3)/2. Show that y is a cube root of -1. Show that y^2=y-1. Find the value of (1-y)^6.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences