Exponential equation 8^4x=40

(8)^4x=40

4x * log(8) = log(40)

4x * (0.90309) = (1.60206)

Divide both sides by 0.90309, then by 4

4x = 1.774

x = 0.4435

If you want to check the answer, multiply 4(0.4435) = 1.774, then check 8^(1.774). It comes out 40.002.

close enough with rounding.


ANSWER

x = 0.4435

presentation !

8^(4x) = 40

take the natural log of both sides...

(4x) ln 8 = ln 40

solve for x:

x = [ln 40]/[4 ln 8] ≈ 0.4435

check

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if ur trying to find x...

8^4x=40
4096x=40
4096x/4096=40/4096
x=0.009765625