Without using log, solve for x.

x = -6

Step-by-step explanation:

We recognize that 25 = 5^2 and also 125 = 5^3, thus we can write:

Now we can use the property of exponents [] to simplify it:

We equate the exponents (since we have similar base) to find the value of x:

4x + 6 = 3x

4x - 3x = -6

x = -6

x=-6

Step-by-step explanation:

The given exponential equation is;

Rewrite both sides to base 5.

Equate the exponents;

Expand:

Group like terms;

Simplify

associative property hopes this ! : )

step-by-step explanation:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i