SOLUTION: Solve each equation for x. (a) 30 = 80(1 − e^−2x) (b) 5 � 2^x = 3^ (x−1) (c) log2(log3 x) = 5 (d) e^{− 1/2 log(x^2−1) }=1/sqrt 3

Question 1032137: Solve each equation for x.
(a) 30 = 80(1 − e^−2x)
(b) 5 � 2^x = 3^ (x−1)
(c) log2(log3 x) = 5
(d) e^{− 1/2 log(x^2−1) }=1/sqrt 3
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(a) 30 = 80(1 - e^-2x)
1 - e^-2x = 0.375
e^-2x = 0.625
-2x = ln(0.625)
x = -ln(0.625)/2
x =~ 0.2350018
======================
(b) 5 � 2^x = 3^ (x−1)
Not clear. Use * (Shift 8) for multiply, not x.
================
(c) log2(log3 x) = 5
Ambiguous. Add parentheses.
===================
(d) e^{-1/2 log(x^2 - 1) }=1/sqrt 3
Is it log base 10? or ln ?
RELATED QUESTIONS
Solve each equation for x. (a) 30 = 80(1 − e^−2x) (b) 5 X 2^x = 3^... (answered by stanbon)

solve each equation for x. a) 30= 80(1-e ^[-2x]) b) 5*2^x = 3^[x-1] c) log2(log3... (answered by Alan3354)

Express the following as the logarithm of a single quantity. a)log (x + 3) − 2... (answered by Gogonati)

1.Solve x^2+3x−4/2x^2+−3≤ 0, indicating your answer by interval... (answered by solver91311)

Given the parent functions f(x) = log3 (5x − 5) and g(x) = log3 (x − 1), what (answered by ewatrrr)

Solve the logarithmic or exponential equation. 1.(525)/(1+e^-x)=275 2.ln(x +1) − (answered by solver91311)

Given x > 1, solve for x (log x^7)(log x) − log x^2 − 5 = 0 (answered by swincher4391)

x 0 1 2 3 f(x) 1 2 5 10 The table above... (answered by ewatrrr)

The ordered pair ( x , y ) = ( 2 , − 3 ) (x,y)=(2,−3) is a... (answered by ikleyn)

SOLUTION: Solve each equation for x. (a) 30 = 80(1 &#8722; e^&#8722;2x) (b) 5 � 2^x = 3^ (x&#8722;1) (c) log2(log3 x) = 5 (d) e^{&#8722; 1/2 log(x^2&#8722;1) }=1/sqrt 3

SOLUTION: Solve each equation for x. (a) 30 = 80(1 − e^−2x) (b) 5 � 2^x = 3^ (x−1) (c) log2(log3 x) = 5 (d) e^{− 1/2 log(x^2−1) }=1/sqrt 3