How does the value of log2^100 compare with the value of log6^20

log_2(100) is about 4 times the value of log_6(20)

Step-by-step explanation:

Lets find the value of both logs and then compare

To find the value we use change of base formula

Now we find the value of log_6(20)

6.643556 is approximately four times of 1.67195

So log_2(100) is about 4 times the value of log_6(20)

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.