Part 1: Is the following equation true? (2 points)

Part 2: Use complete sentences to explain the properties used in making your decision. (6 points)

2 log 5 x + 1/2 log 5 y – 4 log 5 z = log 5 x^2√y/z^4.

Question

Part 1: Is the following equation true? (2 points) 

Part 2: Use complete sentences to explain the properties used in making your decision. (6 points) 

2 log 5 x + 1/2 log 5 y – 4 log 5 z = log 5 x^2√y/z^4.

campbell_st · Answer

there are all base 5 logs the equation is 

$$2\log _{5}(x)+1/2\log _{5}(y) - 4\log _{5}(z)$$

anonymous · Answer

ok. Then its true

campbell_st · Answer

the equation is true

log laws are identical to power laws... 


log law for powers of a term

$$\log _{a}(b^y) = ylog _{a}(b)$$

this has been applied to all three terms

next.. log laws for products add the terms in the product 

$$\log _{a}(bc) = \log _{a}(b) +\log _{a}(c)$$

log laws for division.... subtract the terms

$$\log _{a}(\frac{b}{c}) = \log _{a}(b) - \log _{a}(c)$$

anonymous · Answer

thanks dude :)