Question

If
5
2
p
=
21
, select all of the statements that are true.

p
=
2
log
10
(
21
)
log
10
(
5
)

p
=
log
10
(
21
)
2
log
10
(
5
)

p
≈
3.78

p
≈
1.91

p
≈
0.95

p
=
log
10
(
21
)
log
10
(
5
)

Answer 1

Interpret the equation as 5^(2p) = 21. Take log10 of both sides:

2p·log10(5) = log10(21) => p = log10(21) / (2·log10(5)) ≈ 1.322219 / 1.397940 ≈ 0.946 ≈ 0.95.

So the true statements are:
- p = log10(21) / (2 log10(5))
- p ≈ 0.95