To solve this exponential equation, we first simplify it by subtracting 6^x from both sides:
5^x - 6^x = 4
Now, we can rewrite the equation using the properties of exponents:
(5^x)/(6^x) = 4
Next, we can rewrite the equation using the property of exponents that states a^(m-n) = a^m / a^n:
(5/6)^x = 4
Now, we take the logarithm of both sides to solve for x:
log((5/6)^x) = log(4)
Using the power rule of logarithms, we can bring down the x as a coefficient:
x * log(5/6) = log(4)
Now, we isolate x by dividing both sides by log(5/6):
x = log(4) / log(5/6)
Therefore, x is equal to log(4) divided by log(5/6).
To solve this exponential equation, we first simplify it by subtracting 6^x from both sides:
5^x - 6^x = 4
Now, we can rewrite the equation using the properties of exponents:
(5^x)/(6^x) = 4
Next, we can rewrite the equation using the property of exponents that states a^(m-n) = a^m / a^n:
(5/6)^x = 4
Now, we take the logarithm of both sides to solve for x:
log((5/6)^x) = log(4)
Using the power rule of logarithms, we can bring down the x as a coefficient:
x * log(5/6) = log(4)
Now, we isolate x by dividing both sides by log(5/6):
x = log(4) / log(5/6)
Therefore, x is equal to log(4) divided by log(5/6).