MYTUTOR SUBJECT ANSWERS

3076 views

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

28 SUBJECT SPECIALISTS

£30 /hr

Ravi S.

Degree: Mechanical Engineering (Masters) - Bristol University

Subjects offered:Maths, Physics

Maths
Physics

“Masters Mech eng. student, University of Bristol. Did Physics, Maths + Further Maths. Not free till 19th may due to exams”

£22 /hr

Sara J.

Degree: Computing Science (Bachelors) - Glasgow University

Subjects offered:Maths, Geography+ 2 more

Maths
Geography
Computing
-Personal Statements-

“Undergraduate student at University of Glasgow with passion for Computing Science, Mathematics and Geography.”

£22 /hr

Guy P.

Degree: Mathematics (Masters) - Warwick University

Subjects offered:Maths, Further Mathematics + 2 more

Maths
Further Mathematics
.STEP.
.MAT.

“Hi there. Thank you for taking the time to visit my profile, it would be great to meet in a FREE 15-minute meeting! I look forward to hearing from you soon!”

About the author

£20 /hr

David G.

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

Subjects offered:Maths

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

When do you use 'n choose k' and where does the formula come from?

Which are the difference between polar and coordinate complex numbers?

How do you calculate the probability P(X < x) for a normally distributed random variable X?

Solve for x: log2(x^4) = log2(16)

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

mtw:mercury1:status:ok