Answer:

Step-by-step explanation:
According to the law of logarithm;

Given

Comparing with the original expression;
a = 9, b = 2 and c = 2x - 1
Substitute into the result indicinal expression;

This gives the required exponential equation
Answer:
Blake's total number of cards now: 1.25b
Step-by-step explanation:
Total number of cards now would be equal to 25% increase from b.
<em>This means we INCREASE b by 25% OF b.</em>
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What is 25% of b???

Now we need to ADD this to original amount, b.
So, 
Answer:
We conclude the exponential form will be:

Step-by-step explanation:
Given the logarithmic equation

Writing the logarithmic equation in exponential form.
We know that
→ 
Let us write the logarithmic equation in exponential form using the expression above
a = 9
b = 729
x = 3
Thus, we conclude the exponential form will be:

Is the prime factorization below correct
24
24+2.3.4
Answer: 100
Prime numbers are natural numbers (positive whole numbers that sometimes include 0 in certain definitions) that are greater than 1, that cannot be formed by multiplying two smaller numbers. An example of a prime number is 7, since it can only be formed by multiplying the numbers 1 and 7. Other examples include 2, 3, 5, 11, etc.
Answer:
1/13
Step-by-step explanation:
There are 4 king cards:
King of Hearts
King of Diamonds
King of Clover
King of Spades
This is 4 cards in a standard deck of 52. Set as a fraction 4/52.
Simplify:
(4/52)/(4/4) = 1/13
1/13 is the probability of drawing a KIng card.
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