Expand and Condense Log Expressions

Which shows the log expression completely expanded correctly

$$\log_4\left(a^2b^5\right)$$

Which shows the log expression completely expanded correctly

$$\log_4\left(a^2+b^5\right)$$

When writing the expanded log expression of $$\log_7\left(\frac{5m^4}{\sqrt[]{r}}\right)$$ , how many times would "log" be written?

(a)  

When writing the condensed log expression of $$\log_7\left(4\right)+3\log_7\left(n\right)-2\log_7\left(b\right)-\log_7\left(g\right)$$ , how many times would "log" be written?

(a)  

When writing the condensed log expression of $$2\log_5\left(x\right)+4\log_8\left(d\right)$$ , how many times would "log" be written?

(a)  

Expand the log expression $$\log\left(\frac{4k}{5d}\right)$$

(Don't type any spaces in your answer)

Remember to put your log argument in parenthesis

To type exponents use ^. For example $$x^2$$ would be typed as x^2

use / to indicate a fraction. For example $$\frac{2x}{5y}$$ ​ would be typed as 2x/5y

(a)  

Expand the log expression $$\log\left(\frac{j^7}{n^3}\right)$$

(Don't type any spaces in your answer)

Remember to put your log argument in parenthesis

To type exponents use ^. For example $$x^2$$ would be typed as x^2

use / to indicate a fraction. For example $$\frac{2x}{5y}$$ would be typed as 2x/5y

(a)  

Condense the log expression $$\log\left(4\right)+5\log\left(t\right)-2\log\left(h\right)$$

(Don't type any spaces in your answer)

Remember to put your log argument in parenthesis

To type exponents use ^. For example $$x^2$$ would be typed as x^2

use / to indicate a fraction. For example $$\frac{2x}{5y}$$ would be typed as 2x/5y

(a)  

Condense the log expression $$\log\left(3\right)-\log\left(w\right)-4\log\left(z\right)$$

(Don't type any spaces in your answer)

Remember to put your log argument in parenthesis

To type exponents use ^. For example $$x^2$$ would be typed as x^2

use / to indicate a fraction. For example $$\frac{2x}{5y}$$ would be typed as 2x/5y

(a)  

Which shows the log expression completely expanded correctly
$$\log_6\left(\frac{5}{4y}\right)$$