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What is 525677.42742534 to the 85 power?

Updated: 9/16/2023
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Xdcjdcsh

Lvl 1
14y ago

Best Answer

Since this goes beyond the capability of most calculators, and of Excel too, you will have to get an approximation with logarithms. Better use base 10 logarithms; in Excel you can use the log() function. Call your number "x":

x = 525677.4274253485
log x = log 525677.4274253485

Now use a standard property of logarithms:

log x = 85 log 525677.42742534
log x = (85)(5.72071932882537)
log x = 486.261142950157

So, the result is approximately 10486. To get the coefficient more accurately:

x = 10486.261142950157
x = 10486 + 0.261142950157
x = 100.26114295015710486
x = 1.82449614534211 x 10486

Since this goes beyond the capability of most calculators, and of Excel too, you will have to get an approximation with logarithms. Better use base 10 logarithms; in Excel you can use the log() function. Call your number "x":

x = 525677.4274253485
log x = log 525677.4274253485

Now use a standard property of logarithms:

log x = 85 log 525677.42742534
log x = (85)(5.72071932882537)
log x = 486.261142950157

So, the result is approximately 10486. To get the coefficient more accurately:

x = 10486.261142950157
x = 10486 + 0.261142950157
x = 100.26114295015710486
x = 1.82449614534211 x 10486

Since this goes beyond the capability of most calculators, and of Excel too, you will have to get an approximation with logarithms. Better use base 10 logarithms; in Excel you can use the log() function. Call your number "x":

x = 525677.4274253485
log x = log 525677.4274253485

Now use a standard property of logarithms:

log x = 85 log 525677.42742534
log x = (85)(5.72071932882537)
log x = 486.261142950157

So, the result is approximately 10486. To get the coefficient more accurately:

x = 10486.261142950157
x = 10486 + 0.261142950157
x = 100.26114295015710486
x = 1.82449614534211 x 10486

Since this goes beyond the capability of most calculators, and of Excel too, you will have to get an approximation with logarithms. Better use base 10 logarithms; in Excel you can use the log() function. Call your number "x":

x = 525677.4274253485
log x = log 525677.4274253485

Now use a standard property of logarithms:

log x = 85 log 525677.42742534
log x = (85)(5.72071932882537)
log x = 486.261142950157

So, the result is approximately 10486. To get the coefficient more accurately:

x = 10486.261142950157
x = 10486 + 0.261142950157
x = 100.26114295015710486
x = 1.82449614534211 x 10486

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Wiki User

14y ago
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Wiki User

14y ago

Since this goes beyond the capability of most calculators, and of Excel too, you will have to get an approximation with logarithms. Better use base 10 logarithms; in Excel you can use the log() function. Call your number "x":

x = 525677.4274253485
log x = log 525677.4274253485

Now use a standard property of logarithms:

log x = 85 log 525677.42742534
log x = (85)(5.72071932882537)
log x = 486.261142950157

So, the result is approximately 10486. To get the coefficient more accurately:

x = 10486.261142950157
x = 10486 + 0.261142950157
x = 100.26114295015710486
x = 1.82449614534211 x 10486

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