32sqrt 2 = 2^a, find the value of a

Ok so this is a typical exam questions worth around 3-4 marks depending on which exam board you are sitting with.To start solving this problem, we are looking for 2 to the power of "something" - so we will look to expressing the rest of the equation in terms of "2 to the power of".So we look to 32 which can be expressed as 25.The Sqrt 2 is the same as = 21/2.Equation now becomes 25 x 21/2 = 2a.We now recall that when multiplying terms with the same base, the indices can be added. (If this was a division, we would subtract them).Back to our question – our answer then becomes 25 1/2.Which is better written as 211/2.This is identical to 2a where a=11/2.

Answered by Shannon M. Maths tutor

7821 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Whats the inverse of y = 2x+1/x-1 ?


Sketch the inequality x^2 - x - 12 > y on a set of axes.


If a rectangle has length (x-4), width (x-5) and area 12 then what is the value of x?


Express the recurring decimal 0.2131313 as a fraction


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 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences