Question

Write the expression as a single logarithm.

5logbY + 6logbX

A. Logb(yx^5+6)
B. (5+6) logb (y+x)
C. Logb(y^5+x^6)
D. Logb (y^5x^6)

Answer 1

\[\Huge\bf log_b{mn} =\log_b{m} +\log_b{n}\]

Answer 2

when you add logs you can multiply them as such \(\log_bm*log_bn=log_b(mn)\)
combine that with this property of logs: \(a\log_bx=\log_bx^a\)

Answer 3

@bibby you made a typo on your first formula

Answer 4

yeah

Answer 5

it should be + not *

Answer 6

you got this?

Answer 7

oh whoops, thanks for pointing it out

Answer 8

\[a\log_by + c\log_bx=\log_b(y^ax^c)
\]