Question

drag the tiles to the boxes to form correct pairs. not all tiles will be used. match the logarithmic functions with their corresponding x-values.
log₂x = 5
625
1,000
log₃x = 1
log₁₀x = 3
32
16
log₅x = 4
log₄x = 2

Explanation:

Step1: Recall log definition

For $\log_b x = y$, $x = b^y$.

Step2: Solve $\log_2 x = 5$

$x = 2^5 = 32$.

Step3: Solve $\log_3 x = 1$

$x = 3^1 = 3$ (not in tiles, skip? Wait, tiles have 1,000; 625; 32; 16; 1,000 from $\log_{10}x=3$: $10^3=1000$; $\log_5x=4$: $5^4=625$; $\log_4x=2$: $4^2=16$. Wait, recheck:

• $\log_2 x = 5$: $2^5=32$ → match $\log_2 x = 5$ with 32.
• $\log_3 x = 1$: $3^1=3$ (no tile, maybe error? Wait tiles: 1,000 (from $\log_{10}x=3$: $10^3=1000$), 625 ($\log_5x=4$: $5^4=625$), 32 ($\log_2x=5$), 16 ($\log_4x=2$: $4^2=16$), $\log_{10}x=3$: $10^3=1000$, $\log_5x=4$: $5^4=625$, $\log_4x=2$: $4^2=16$.

So correct pairs:

• $\log_2 x = 5$ ↔ 32
• $\log_{10} x = 3$ ↔ 1,000
• $\log_5 x = 4$ ↔ 625
• $\log_4 x = 2$ ↔ 16
• $\log_3 x = 1$: $3^1=3$ (no tile, so maybe not used)

Answer:

• $\log_2 x = 5$ pairs with 32
• $\log_{10} x = 3$ pairs with 1,000
• $\log_5 x = 4$ pairs with 625
• $\log_4 x = 2$ pairs with 16