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Algebraic Equation Problem Solving

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I need a suitable way to solve these equations with algebra only, not by charts or diagram.

- 42.45= 1516 ln ( R) + 5.307 *10^-3 / R , I want to get R value.

T^4 = .564 - .876T , I want to get T value.

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Solution Summary

Solving algebraic equation through pure algebraic methods.
In this solution, I show how to solve an equation where in both left and right side of an equation contains a variable.
With an equation being a Quadratic containing logarithmic values. It involves a few tricks and once done, simplify things considerably.

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Solve the following equations
- 42.45= 1516 ln ( R) + 5.307 *10^-3 / R , I want to get R value.
T^4 = .564 - .876T , I want to get T value.

1. - 42.45= 1516 ln ( R) + 5.307 *10^-3 / R
Assuming log base is e
We know that
A = log (B) to the base e
B = e ^ A
Ex: log2(8) = 3 ; 2^3 = ...

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