To solve for x in this equation, we can combine like terms on the right side:
Lgx = 1/3Lga + 2Lgb - 3LgaLgx = -2/3Lga + 2Lgb
Now, we can isolate x by dividing both sides by Lg:
x = (-2/3Lga + 2Lgb) / Lg
Therefore, x = -2/3a + 2b.
To solve for x in this equation, we can combine like terms on the right side:
Lgx = 1/3Lga + 2Lgb - 3Lga
Lgx = -2/3Lga + 2Lgb
Now, we can isolate x by dividing both sides by Lg:
x = (-2/3Lga + 2Lgb) / Lg
Therefore, x = -2/3a + 2b.