Question

Use a table to solve. round to the nearest tenth 2^(8x)=93

Answer 1

Answer:

$x\approx 0.8$

Step-by-step explanation:

The given expression is

$2^{8x}=93$

To solve this we have to apply logarithms as follows

$2^{8x}=93\\ln(2^{8x})=ln(93)$

Now, applying properties of logarithms, we have

$ln(2^{8x})=ln(93)\\8x(ln2)=ln(93)\\x=\frac{ln93}{8(ln2)}\\ x\approx 0.8$

Therefore, the answer rounded to the nearest tenth is

$x\approx 0.8$

Remember that you have to apply logarithms when the exponential equation cannot be expressed as equivalent powers.

Answer 2

I got the decimal form where x= 0.817395
if that's wrong then sorry