In chathamtownfc.net, the logarithm of a number \$n\$ in base 10, finds the exponent wherein 10 needs to be raised to, to produce \$n\$ again. So if \$Log_10(n) = p\$ climate \$10^p = n\$.

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What I"m looking for is basically the opposite: provided the exponent, I want to find the equivalent base: therefore if the number is \$n\$ and the exponent is \$k\$, I"m trying to find a function that calculates a base \$b\$ so the \$b^k = n\$.

Does such a role exists? What is that name?

The most organic thing come say is come say the \$b^k=c\$ implies \$b= c^1/k\$, at least if \$b\$ and \$c\$ space positive. Girlfriend can call this the \$k\$th root, i.e. \$b=sqrtc\$.

Otherwise \$b^k = n\$ implies \$k log_c b = log_c n\$, for this reason \$b = c^(log_c n) / k\$ for any sensible \$c\$ such as \$e\$ or \$10\$ or \$2\$

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utilizing integers \$a\$ and also \$x\$ in \$a^x\$, why walk the # of number of the exponentiated strength multiplied by the \$log_10(a)\$ same \$pm1\$ the exponent x?

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