# What are the solutions of the equation e^1-10x = 7?

##### 1 Answer

Mar 1, 2017

If you meant

If you meant

#### Explanation:

There is an ambiguity in the way you have written the expression

**Interpretation 1 :**

# :. e - 10x = 7 #

# :. 10x = e-7 #

# :. x = (e-7)/10 #

# \ \ \ \ \ \ \ = -0.4281718 ... #

# \ \ \ \ \ \ \ = -0.42817 # (5dp)

**Interpretation 2 :**

# :. ln {e^(1 - 10x)} = ln7 #

# :. 1-10x = ln7 #

# :. 10x = 1-ln7 #

# :. x = (1-ln7)/10 #

# \ \ \ \ \ \ \ = -0.09459101 ... #

# \ \ \ \ \ \ \ = -0.09459 # (5dp)