# Math Help - Logarithm Help!

1. ## Logarithm Help!

I was wondering if you could help with the following logarithm questions:

a) Rewrite 7^2 = 49 in the equivalent Log form.

log7 49 = 2

b) Solve : x + 1 = Log6 216

c) Evaluate : 5 Log3 9 - Log3 81 + Log3 1

b) If Loga y = 3Loga x+2, find the equation for y in terms of a and x.

Any Contribution will be appreciated!

2. b)
$x + 1 = log_6{216}$

$x = log_6{216} - 1$

$x = 2$

3. c)

$5log_3{9} - log_3{81} + log_3{1} = 5 * 2 - 4 + 0 = 6$

4. d)

$log_a{y} = 3log_a{(x+2)}$

$log_a{y} = log_a{(x+2)^3}$

$y = (x + 2)^3$