Given that 5" alt="2 {}^{x} = 0.125" align="absmiddle" class="latex-formula"> Find x
2 answers:
Take the natural log of both sides ln(2^x)=ln(.125) Xln(2)=ln(.125) X=ln(.125)/ln(2) X=-3 ALTERNATIVE ROUTE: You know that 0.125 is equal to 1/8 And 1/2^3 is also equal to 1/8 So since you need the reciprocal to match it the exponent is a negative
Answer:
x = -3.
Step-by-step explanation:
2^x = 0.125
Taking logs:
x ln 2 = ln 0.125
x = ln 0.125 / ln 2
x = -3
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