8^(3/4)*2^(x) = 16^(4/5). Work out the exact value of x.

8 = 2^3 and 16 = 2^4. Substituting these into the above equation, we get 2^(9/4)*2^(x) = 2^(16/5). Using the laws of indices, we can derive the equation (9/4) + x = (16/5). In decimal form, this is 2.25 + x = 3.2. Subtracting 2.25 from both sides, we conclude that x = 1.45.

KS
Answered by Katherine S. Maths tutor

5510 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What does it mean to solve an equation for x?


Factorise this equation and then solve for x) 2x^2 - 3x-2


Billy buys 4 adult tickets at £15 each and 2 child tickets at £10 each for show. A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Find the total charge for these tickets when paying by card


Solve the following simultaneous equations: 4x+y=10 and 2x-3y=19


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