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MAVERICK [17]
4 years ago
11

14 • 10^0.5w= 100. solve for w. express the solution as a logarithm in base-10

Mathematics
1 answer:
Schach [20]4 years ago
5 0

Answer:

20

Step-by-step explanation:

100 expressed as a logarithm to base 10 will be 10^{10}

The question is then framed as

10^{0.5w}=10^{10}

Introduce logs on both ends

log10^{0.5w}=log10^{10}

Since both sides have base of 10 then we drop the bases and solve the question as

0.5w=10

Making w the subject of the formula

w=10/0.5=20

Therefore, w=20

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