Question

Expand each logarithmic expression:
⦁ logb(35/43)


⦁ Logb(3x2)


Write the expression as a single logarithm:
c) 8logbx – 3logby

Answer 1

\[\huge\color{blue}{ Log_b(\frac{35}{43}) ~~~and~~~ Log_b(3x^2) ~~~?}\]

Answer 2

\[\huge\color{red}{ Identities: }\]

\[\huge\color{red}{ Log_x(r/y) =Log_xr -Log_xy}\]\[\huge\color{red}{ Log_x(r \times y) =Log_xr +Log_xy}\]\[\huge\color{red}{ Log_x(r ^ y) =yLog_xr }\]

Answer 3

when you divide numbers subtract the logs
log b (35/43) =log b 35 - log b 43

Answer 4

log b (3x2)
multiply numbers add the logs
log b 3 + log b 2

Answer 5

Write the expression as a single logarithm:
c) 8logbx – 3logby
the number in front is the power to which the number is raised
to subtract log you divide the numbers
log b (X^8)/(y^3)

Answer 6

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