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Likurg_2 [28]
3 years ago
11

Given that 2^x=7 then what is 4^x-1

Mathematics
2 answers:
Dimas [21]3 years ago
7 0

It depend what you mean

First    4∧x -1 = (2∧2)∧x -1 = (2∧x)∧2 -1 = 7∧2 -1 = 49-1 = 48

Second  4∧(x-1)= (2∧2)∧(x-1)=2∧(2x-2)=(2∧x)∧2/4=7∧2/4=49/4

Sergeu [11.5K]3 years ago
4 0
4^x=2×2^x=2×7=14
4^x-1=14-1=13
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2 years ago
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2) Evaluate the given numerical expression.<br><br> A) 9<br> B) 12<br> C) 14<br> D) 21
eduard

Answer:

  • \boxed{\sf{14}}

Step-by-step explanation:

\boxed{\underline{\text{ORDER OF OPERATIONS:}}}

Use the order of operations.

Note: PEMDAS or BODMAS stands for:

<u>PEMDAS</u>

  • <u>Parentheses</u>
  • <u>Exponents</u>
  • <u>Multiply</u>
  • <u>Divide</u>
  • <u>Add</u>
  • <u>Subtract</u>

<u>BODMAS</u>

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  • <u>Order</u>
  • <u>Divide</u>
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<u>First, do parentheses.</u>

3+6*(5+4)÷3-7

(5+4)=9

\Longrightarrow: \sf{3+6* 9\div 3-7}

<u>Do multiply and divide.</u>

6*9=54

54/3=18

<u>Then, rewrite the problem down.</u>

\Longrightarrow: \sf{3+18-7}

<u>Add.</u>

\sf{3+18=21}

\sf{21-7=\boxed{\sf{14}}

\Longrightarrow: \boxed{\sf{14}}

  • <u>Therefore, the correct answer is "C. 14".</u>

I hope this helps, let me know if you have any questions.

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