Answer:
log₄ 10 = log₁₀ 10 / log₁₀ 4
Step-by-step explanation:
Taking the x to be a power then;
Introduce log on both sides
x log 4= log 10
x= log 10/log 4
log₄ 10 = log₁₀ 10 / log₁₀ 4
How many 2 3 -quart portions are in 7 1 2 quarts of soup?
2 answers:
Answer:
Step-by-step explanation:
Given
quarts
quarts
Required
Determine the number of portions in the soup
<em>The question illustrates division of fractions and to solve this question, we simply divide the size of the soup by the size of the given portion</em>
<em />
<em /><em />
<em>Substitute values for Soup and Portion</em>
<em /><em />
<em /><em />
<em />
Convert mixed fraction to improper fraction
<em /><em />
<em>Hence, there are </em><em> of </em>
<em> quarts in </em>
<em> quarts of soup</em>
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Answer:
see below
Step-by-step explanation:
-33, -27, -21, -15,....
-33 +6 = -27
-27+6 = -21
-21+6 = -15
This is an arithmetic sequence
The common difference is +6
explicit formula
an=a1+(n-1)d where n is the term number and d is the common difference
an = -33 + ( n-1) 6
an = -33 +6n -6
an = -39+6n
recursive formula
an+1 = an +6
10th term
n =10
a10 = -39+6*10
= -39+60
=21
sum formula
see image
The sum will diverge since we are adding infinite numbers
