SOLUTION: Solve: 16^2x+1=8^x

Question 121325: Solve: 16^2x+1=8^x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Does the problem look like this: ?

Start with the given equation

Rewrite as and rewrite as

Multiply the exponents

Since the bases are equal, the exponents are equal. So set the exponents equal to each other and solve.

Distribute

Subtract 4 from both sides

Subtract 3x from both sides

Combine like terms on the left side

Divide both sides by 5 to isolate x

Reduce

--------------------------------------------------------------
Answer:
So our answer is (which is approximately in decimal form)

RELATED QUESTIONS
solve the inequality {{{ -2x+1<16-x... (answered by tsuirakuakari)

solve. 8^2x-3... (answered by ewatrrr,MathTherapy)

I am trying to solve (1/8)^(2x-3) =... (answered by Edwin McCravy,ikleyn)

Solve the inequality for x: 2x + 8 < - 16 +... (answered by jim_thompson5910)

Solve for x in the equation: 8(2x-3)=... (answered by jim_thompson5910)

help me solve... (answered by MathLover1)

(1/16)^x+1=(1/8)^2x-1 (answered by ewatrrr)

Solve foe x: a) (0.5)^(x+2)=3^x b) 1/8(16^(2x-1))=(sqrt2)^x... (answered by stanbon)

Solve for x 16 - 3x =... (answered by WoWLeaky)