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

2 years 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

Carlo M.

Degree: Physics (Bachelors) - Kings, London University

Subjects offered:Maths, Physics


“I am a Physics student at King’s College London. I have a passion for maths and physics, and hope to be able to share it with you too. Having completed the IB, I have a good knowledge of how it works and look forward to helping you ach...”

MyTutor guarantee

£20 /hr

Jayde L.

Degree: Psychology (Bachelors) - York University

Subjects offered:Maths


“​About Me: I am currently majoring in BSc Psychology at The University of York. I volunteer at the Nursery and write reviews for one of the University's valued arts magazines. For years, I had spent most of my time in Math classes; w...”

£36 /hr

Andres O.

Degree: PhD in Theoretical Particle Physics (Doctorate) - Durham University

Subjects offered:Maths, Physics+ 2 more

-Oxbridge Preparation-

“I am a patient and experienced tutor with a lot of enthusiasm for Mathematics and Physics. ”

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

Take the square root of 2i

When the polynomial 3x^3 +ax+ b is divided by x−2 , the remainder is 2, and when divided by x +1 , it is 5. Find the value of a and the value of b.

What does it take to make a 7 in HL Math?

Find the coordinates that correspond to the maximum point of the following equation: y = −16x^2 + 160x - 256

View IB Maths tutors

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