Struggling with a Form of Logarithm question during my revision I am doing AS Mathematics In the UK under the examining board edexcel. I came across this question in a List of exam questions given to me by my teacher However I can't work out how to do it. 2^x 4^(x+1)=8 Now I understand that 4^(x+1) is the same as (2^2)^x therefore the log is base 2. So log base 2 of 8 = 3 And then I'm stuck. Can anyone help me on this? It'd be greatly appreciated :D

Samson Kaufman

Samson Kaufman

Answered question

2022-08-13

Struggling with a Form of Logarithm question during my revision
I am doing AS Mathematics In the UK under the examining board edexcel.
I came across this question in a List of exam questions given to me by my teacher However I can't work out how to do it.
2 x 4 x + 1 = 8
Now I understand that 4 x + 1 is the same as ( 2 2 ) x therefore the log is base 2
So log base 2 of 8 = 3
And then I'm stuck. Can anyone help me on this? It'd be greatly appreciated :D

Answer & Explanation

gorilomgl

gorilomgl

Beginner2022-08-14Added 9 answers

Use the fact that 2 x 4 x + 1 = 2 x 2 2 x + 2 = 2 3 x + 2 and 8 = 2 3

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