**8 To The Power Of What Equals 4096**. 8x = 4096 8 x = 4096. 2x = 212 ← the bases are equal, so the indices are equal.

Convert the exponential equation to a logarithmic equation using the logarithm base (8) ( 8) of the right side (4096) ( 4096) equals the exponent (x) ( x). √2x = 212 ← square both sides to get rid of the root. Using above factorization we have (8⁴)^x=8.

### The Number Of Times Eight Can Go In To 4096 Is 512.

X\log (8)=\log (4096) x l o g ( 8) = l o g ( 4 0 9 6) divide both sides by \log (8). The powers of 2 are well worth knowing. While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions.

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Raised by the power of. Tick the box, to convert exponential result into number. Sove 4096 x = 8 (4096 to the power of x is equal to 8) explain steps.

### X^4 Should Approach 4096 When X Goes To 8, You Can Either Calculate A Ton Of Numbers As The Power Goes Up And Find When X Approaches The Same Number As The Power You Got It Right, Or You Can Do Algebra.

Keeping in view the power of power property of exponents, we will multiply powers. Comparing both side side we observe that base is same and value is same. Log8(4096) = x log 8 ( 4096) = x.

### 8X = 4096 8 X = 4096.

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### Answer By Jsmallt9 (3758) ( Show Source ):

√2x = 212 ← square both sides to get rid of the root. Since 8 and 4 are both powers of 2, we can solve this quickly, easily and without logarithms: 8x = 4096 8 x = 4096.