Holooly Plus Logo

Question 2.52: Calculate 1,242.67^6 using logs....

Calculate 1,242.67^6 using logs.

Step-by-Step
The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.

log 1,242.67 = 3.0943558

This means

1,242.67  = 10 ^{3.0943558}

If this is taken to the power of 6, it means that this index of 10 is multiplied 6 times. Therefore

log 1,242.67^6 = 6 log 1,242.67 = 18.566135

Using the [ 10^x ] function to evaluate this number gives

3.6824 × 10^{18} = 3,682, 400,000,000,000,000

Related Answered Questions

Question: 2.53

Verified Answer:

Log 226.34 must be divided by 8 to find the log of...
Question: 2.54

Verified Answer:

\begin{aligned} 460(1.08)^n &=  925 \\ ...
Question: 2.50

Verified Answer:

Using the [LOG] function key on a calculator log 4...
Question: 2.51

Verified Answer:

From log tables log 56,200 = 4.7497363  log 3,484 ...
Question: 2.27

Verified Answer:

total balance = 8 × (−210) = −£1,680
Question: 2.23

Verified Answer:

1p = £0.01 Therefore 0.01p = £0.0001 In mathematic...
Question: 2.22

Verified Answer:

Multiplying both terms by 100 the problem becomes ...
Question: 2.21

Verified Answer:

Removing the decimal places and multiplying the wh...
Question: 2.20

Verified Answer:

1.345      + \\ 0.00041   + \\ \underline{0...