Geometric Sequences

Expand: $$\log_6\left(\frac{5}{4y}\right)$$  

Expand: $$\log_4\left(3x^2\right)$$  

True or False:

log 12 - log 4 = log 8

Solve $$\log_2\left(x+8\right)=\log_264$$  

Solve $$\log_8\left(3x+7\right)=\log_8\left(7x+4\right)$$  

Solve $$\log_6x+\log_69=\log_654$$  

Solve for x:

$$12\cdot\ 2^{\left(x-7\right)}=24$$

Using a calculator approximate ln 2.3 to the nearest thousandth

What do you notice about the following sequence;

40, 120, 360, 1080, 3240, ...

What do you notice about the following sequence;

256, 192, 144, 108, 81, ...

So - considering all of that. Given the sequence;

3, 6, 12, 24, ...

Find the next two terms

If we say a value DECREASES at a rate of 22%, what is the multiplier (r) we would use? Fee free to pick a value and find the first few terms.

A sequence starts at 100 and decreases by 43%. What is the multiplier (r) we would use? Again, if needed pick a value and find the first couple of terms to evaluate.

A sequence starts at 100 and decreases by 43%. Find the EXPLICIT formula for this sequence.

A sequence starts at 100 and decreases by 43%. Find the value of the 10th term. (n = 10)