Answer:
7.5xd - 18.75x
Step-by-step explanation:
Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.
<h3>What is logarithm?</h3>
When you raise a number with an exponent, there comes a result.
Let's say you get
a^b = c
Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Erika is working on solving the exponential equation 50^x = 17;
however, she is not quite sure where to start.
The equation is

By taking the log both sides

By using the base formula

So, 

x = 0.7242
Learn more about logarithm here:
brainly.com/question/20835449
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Answer:

Step-by-step explanation:
we are given half-life of PO-210 and the initial mass
we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>
in order to solve so we can consider the half-life formula given by

where:
- f(t) is the remaining quantity of a substance after time t has elapsed.
- a is the initial quantity of this substance.
- T is the half-life
since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5
thus substitute:

reduce fraction:

By using calculator we acquire:

hence, the remaining sample after 420 days is 0.625 kg
Answer:
3
Step-by-step explanation:
The factors of 12a are ...
2×2×3×a
The factors of 27 are ...
3×3×3
The only common factor is 3.
_____
12a -27 = 3(4a -9)
Answer:
≈ 23.4
Step-by-step explanation:
A = bh
270 = 15b
b = 18
Now you know the two legs, use the Pythagorean Theorem to find the value of the hypotenuse: a² + b² = c²
15² + 18² = c²
225 + 324 = c²
c² = 549
c = √549