MYTUTOR SUBJECT ANSWERS

1075 views

Solve the equation 5^x = 8, giving your answer to 3 significant figures.

Since there is an x written as a power here, it suggests that this question should be solved using logs (here assume I am using the natural logarithm, which has base e). Taking logs of both sides of the equation gives log5x = log8

Using the rule logab = bloga, the equation becomes xlog5 = log8

If we then divide the equation through by log5, we see that x = log8/log5 = 1.29

Hannah M. A Level Maths tutor, GCSE Maths tutor, 11 Plus Maths tutor

1 year ago

Answered by Hannah, an A Level Further Mathematics tutor with MyTutor


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

120 SUBJECT SPECIALISTS

£36 /hr

Konrad E.

Degree: Natural Sciences: Physical (Masters) - Cambridge University

Subjects offered:Further Mathematics , Physics+ 2 more

Further Mathematics
Physics
Maths
Chemistry

“I am studying Natural Sciences at Cambridge, and have been tutoring for 5 years now. I focus on understanding, and finding explanations that work for you.”

£36 /hr

Joe B.

Degree: Mathematics G100 (Bachelors) - Bath University

Subjects offered:Further Mathematics , Maths+ 3 more

Further Mathematics
Maths
.STEP.
.MAT.
-Personal Statements-

“Hi! I'm Joe, a friendly, experienced and patient tutor with in-depth knowledge of both the old and new A Level Maths & Further Maths specifications.”

£26 /hr

Joshua B.

Degree: Mathematics (Masters) - Durham University

Subjects offered:Further Mathematics , Maths

Further Mathematics
Maths

“Hi! I’m Josh, a third year on a four-year Mathematics course. I got 100% in both my Maths IGCSE and A-Level, and did all 18 A-Level modules.”

About the author

Hannah M.

Currently unavailable: for new students

Degree: Mathematics (Bachelors) - Durham University

Subjects offered:Further Mathematics , Maths

Further Mathematics
Maths

“Hi, I'm Hannah and I am studying Maths in my first year at Durham University. I've really loved maths all the way through school (and so far into university!) and have signed up to be a tutor so I can try to share that love with other...”

You may also like...

Posts by Hannah

Express (2x-1)/(x-1)(2x-3) in partial fractions.

Prove that 1/(tanx) + tanx = 1/sinxcosx

Solve the equation 5^x = 8, giving your answer to 3 significant figures.

Other A Level Further Mathematics questions

find general solution to: x(dy/dx) + 2y = 4x^2

Prove by mathematical induction that, for all non-negative integers n, 11^(2n) + 25^n + 22 is divisible by 24

A golf ball is hit from horizontal ground with speed 10 m/s at an angle of p degrees above the horizontal. The greatest height the golf ball reached above ground level is 1.22m. Model the golf ball as a particle and ignore air resistance. Find p.

Given that f(x)=2sinhx+3coshx, solve the equation f(x)=5 giving your answers exactly.

View A Level Further Mathematics 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