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.

Answered by Katherine S. Maths tutor

5334 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x^(2) + y^(2) = 5


If two linear equations, y = x + 4 and y = 2x + c, intersect at x = 1, find c.


Make x the subject of the formula: y=(x+5w/2)^0.5


2x + 4 > 16


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences