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)

David G. GCSE Maths tutor, IB Maths tutor

1 year ago

Answered by David, an IB Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Szymon K.

Degree: Mechanical Engineering (Masters) - Manchester University

Subjects offered: Maths, Physics+ 1 more

Further Mathematics

“About me: I am a student pursuing my degree in Mechanical Engineering at the University of Manchester. Ever since I can remember I have always been passionate about passing my knowledge to others. As a tutor I taught people of differen...”

£20 /hr

Oliver T.

Degree: Mathematics (Masters) - Edinburgh University

Subjects offered: Maths, Further Mathematics

Further Mathematics

“Hello! I'm currently a 2nd year Mathematics student at the University of Edinburgh with a sturdy passion for all things Mathematics. Not only do I love Maths, I love teaching Maths and helping people with problems. In particular, I en...”

MyTutor guarantee

£20 /hr

Sanveer R.

Degree: Management (Bachelors) - LSE University

Subjects offered: Maths, Economics


“Who Am I: My name is Sanveer, but you can call me Sunny. I have Indian origins, but I grew up in Switzerland, where I lived for 14 years before moving to the UK. My passions include basketball and music. I am a student studying Manage...”

About the author

£20 /hr

David G.

Degree: Bsc Computer Science and MAthematics (Bachelors) - Edinburgh University

Subjects offered: Maths


“Hi, I am David an undergraduate studying maths and computer science.  Teaching and seeing kids learn and understand new concepts, I see as a pleasant and very rewarding feeling, knowing how I also sometimes used to struggle with new m...”

MyTutor guarantee

You may also like...

Other IB Maths questions

What is integration by parts, and how is it useful?

Take the square root of 2i

How do I derive the indefinite integral of sine?

How do i solve simultaneous equation with more than two equations and two unknowns?

View IB Maths tutors


We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss