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
Related Maths GCSE answers
All answers ▸Solve the simultaneous equations: 2x + y = 18, x - y =6.
A book was reduced by 35% in a sale. It's new price is £16. What was the original price ?
1: x = 2, 2: y = x + 5 -> Solve this pair of simultaneous equations.
Use completing the square to find the minimum of y = x^2 - 4x + 8