Question

If logb(a) = p and c=a^2 find in terms of p
logc(b)
Halp PLEASE Medal + FAN

Answer 1

@matricked can you please help again?

Answer 2

Hint:

logb(a) = p

log(a)/log(b) = p


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c = a^2

loga(c) = 2

log(c)/log(a) = 2


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See what you can do with the equations

log(a)/log(b) = p
log(c)/log(a) = 2

Answer 3

already u have with u the value of logb(c)

use loga (b) = 1/logb (a)

Answer 4

im lost

Answer 5

do you see how I got the equations

log(a)/log(b) = p
log(c)/log(a) = 2

Answer 6

change base formula right?

Answer 7

yes

Answer 8

now multiply the two equations together

Answer 9

log(c)/log(a) = 2
How did you get this?

Answer 10

more like

log(c)/log(b) = 2p

Answer 11

notice how the log(a) terms will cancel

Answer 12

now flip both sides to get

log(b)/log(c) = 1/(2p)

then use the change of base rule

logc (b) = 1/(2p)

Answer 13

i finally understand this now thanks

Answer 14

np