SOLUTION: Please explain how to solve: {{{ e^(x)-8e^(-x)=7 }}} and solve for x (exact answer) {{{ 10^(10-x)=16^(x) }}} Thank you

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Question 959160: Please explain how to solve:


and

solve for x (exact answer)


Thank you

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!







Still not finished solving, but the equation is in quadratic form, and you can solve for .

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
Please explain how to solve:


and

solve for x (exact answer)


Thank you




--------- Multiplying by LCD,


OR (ignore)
----- Exponential form
ln 8 = x --- Logarithmic form

----------- Exponential form
----- Taking log of both sides
10 - x (log 10) = x (log 16)
(10 – x) * 1 = x log 16
10 – x = x log 16
10 = (x log 16) + x
10 = x[(log 16) + 1)]

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