We read your photo as:

Solve for x in the following equations: (ii) 4^x+1 = 8^x+2

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

Question One

Part a(ii)· 2 steps

4x+1=8x+24^{x+1} = 8^{x+2}

Solve for xx in the following equations

  1. Express both sides with the same base, which is 2.

    (22)x+1=(23)x+2(2^2)^{x+1} = (2^3)^{x+2} 22(x+1)=23(x+2)2^{2(x+1)} = 2^{3(x+2)}

  2. Equate the exponents.

    2(x+1)=3(x+2)2(x+1) = 3(x+2) 2x+2=3x+62x + 2 = 3x + 6
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QSolve the following equations for x: 1.1) x + 3 = 8, 1.2) x − 7 = 9, 1.3) x − 3 = 28, 1.4) x + 4…QSolve for x: 6^x = 8QSolve for x: 4^x + 4^x = 4QSolve the equation 2x + 4 = 8 for x.QSolve the equation 2^x x 8 = 64.
Browse by topic:Algebra
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp